Find the exact object.

Names, aliases, Unicode, and common TeX notation. Open full search

Evidence, checks, and independent review

Review the reference.

Source curation and automated consistency checks are recorded separately from named expert review. A change to a record or its consequential dependencies makes an earlier approval stale.

266records with sources0completed expert reviews266records awaiting completion
This release contains AI-assisted source curation and automated validation. No independent human approval is implied by those checks. Expert review requires current mathematics and physics approvals from two distinct named human reviewers.

Editorial method · Prepare a correction · Version and fingerprint policy

RecordStatusCurrent / stale decisionsContent fingerprint
SU(2)\mathrm{SU}(2)
group:su-2
Expert review pending0 / 07ab2c83b40633431…
SO(3)\mathrm{SO}(3)
group:so-3
Expert review pending0 / 08d2afe852e9f3ab8…
SU(3)\mathrm{SU}(3)
group:su-3
Expert review pending0 / 06539caa49dd5db1c…
PSU(3)\mathrm{PSU}(3)
group:psu-3
Expert review pending0 / 07a8a8b067e6f1e44…
U(1)\mathrm{U}(1)
group:u-1
Expert review pending0 / 0dd13e9e43dfba027…
Spin(4)\mathrm{Spin}(4)
group:spin-4
Expert review pending0 / 01ba33c0f50e61bc2…
SL(2,C)\mathrm{SL}(2,\mathbb C)
group:sl-2-c
Expert review pending0 / 0931496d4af45c436…
C3\mathrm{C}_{3}
group:c-3
Expert review pending0 / 04025df73ca10bcce…
S3\mathrm{S}_{3}
group:s-3
Expert review pending0 / 04a716c6abe2466d0…
A4\mathrm{A}_{4}
group:a-4
Expert review pending0 / 04b5b16226efa1600…
S4\mathrm{S}_{4}
group:s-4
Expert review pending0 / 094f851ca385eda5f…
A5\mathrm{A}_{5}
group:a-5
Expert review pending0 / 0f18010e76f28a904…
Q8\mathrm{Q}_{8}
group:q-8
Expert review pending0 / 088bbcbe4e799e4f7…
D8\mathrm{D}_{8}
group:d-8
Expert review pending0 / 0c1749e09baa105ad…
Cp\mathrm{C}_{p}
family:finite-prime-cyclic
Expert review pending0 / 04757aadf1a96a577…
An\mathrm{A}_{n}
family:finite-alternating
Expert review pending0 / 08a32fa23c2e3521b…
PSL(n,q)\mathrm{PSL}(n,q)
family:finite-linear
Expert review pending0 / 0466d55838f1f0d80…
PSU(n,q)\mathrm{PSU}(n,q)
family:finite-unitary
Expert review pending0 / 0a05844a40357d3c8…
PSp(2n,q)\mathrm{PSp}(2n,q)
family:finite-symplectic
Expert review pending0 / 071f0ebb5674bd4d1…
PΩ(2n+1,q)\mathrm P\Omega(2n+1,q)
family:finite-odd-orthogonal
Expert review pending0 / 029c3ac3fcca70fc4…
PΩ+(2n,q)\mathrm P\Omega^{+}(2n,q)
family:finite-even-orthogonal-plus
Expert review pending0 / 0e546dff65f9d11ce…
PΩ−(2n,q)\mathrm P\Omega^{-}(2n,q)
family:finite-even-orthogonal-minus
Expert review pending0 / 0ddf1776c95fa2263…
G2(q)G_{2}(q)
family:finite-g2
Expert review pending0 / 08c4f615de1615780…
F4(q)F_{4}(q)
family:finite-f4
Expert review pending0 / 07df7b2b311e2f7e9…
E6(q)E_{6}(q)
family:finite-e6
Expert review pending0 / 058545fe1e03f3246…
E7(q)E_{7}(q)
family:finite-e7
Expert review pending0 / 06d631bbfdf77a289…
E8(q)E_{8}(q)
family:finite-e8
Expert review pending0 / 0f8d898de58ae93bc…
2 ⁣E6(q){}^{2}\!E_{6}(q)
family:finite-twisted-e6
Expert review pending0 / 033270b5c64fd818f…
3 ⁣D4(q){}^{3}\!D_{4}(q)
family:finite-triality
Expert review pending0 / 02ed1b807aa5e81ac…
2 ⁣B2(q){}^{2}\!B_{2}(q)
family:finite-suzuki
Expert review pending0 / 035208c0a189e9618…
2 ⁣G2(q){}^{2}\!G_{2}(q)
family:finite-ree-g2
Expert review pending0 / 010bbfbdca41312d0…
2 ⁣F4(q){}^{2}\!F_{4}(q)
family:finite-ree-f4
Expert review pending0 / 00585d4ad281482bb…
Sporadic
family:finite-sporadic
Expert review pending0 / 0a924fd4c5511c98a…
Cn\mathrm{C}_{n}
family:finite-cyclic
Expert review pending0 / 08921f074fea992e9…
D2n\mathrm{D}_{2n}
family:finite-dihedral
Expert review pending0 / 03536361ba653b354…
Dicn\mathrm{Dic}_{n}
family:finite-dicyclic
Expert review pending0 / 0f2302bc28f081acd…
2T,2O,2I2T,\quad 2O,\quad 2I
family:binary-polyhedral
Expert review pending0 / 0969f40519e73abd4…
Sn\mathrm{S}_{n}
family:finite-symmetric
Expert review pending0 / 090aa26851cbee4ea…
C2C_{2}
group:c-2
Expert review pending0 / 04ba0c946703c1592…
C4C_{4}
group:c-4
Expert review pending0 / 0f6ad8f2fb2569245…
C5C_{5}
group:c-5
Expert review pending0 / 0945c0d11863c5ee7…
C6C_{6}
group:c-6
Expert review pending0 / 0955bd23a4f80ace7…
V4\mathrm{V}_{4}
group:v-4
Expert review pending0 / 089013fa187903937…
D10\mathrm{D}_{10}
group:d-10
Expert review pending0 / 00f1318e46bd64d01…
D12\mathrm{D}_{12}
group:d-12
Expert review pending0 / 0a9726d7faf29a42e…
Dic3\mathrm{Dic}_{3}
group:dic-3
Expert review pending0 / 0f692d9eab0012e77…
Q16\mathrm{Q}_{16}
group:q-16
Expert review pending0 / 0665025a55e1d515d…
2T2T
group:binary-tetrahedral
Expert review pending0 / 03619f29339b5296d…
2O2O
group:binary-octahedral
Expert review pending0 / 03311ce1979cc53bd…
2I2I
group:binary-icosahedral
Expert review pending0 / 0de6d9c8257dac542…
PSL(2,7)\mathrm{PSL}(2,7)
group:psl-2-7
Expert review pending0 / 05df76a897b22c66e…
Δ(27)\Delta(27)
group:delta-27
Expert review pending0 / 04aaad009803a1954…
A6\mathrm{A}_{6}
group:a-6
Expert review pending0 / 05a65d297c0e64d08…
M11\mathrm{M}_{11}
group:sporadic-m11
Expert review pending0 / 0aeb50e9ada054253…
M12\mathrm{M}_{12}
group:sporadic-m12
Expert review pending0 / 01d867f7dba183b74…
M22\mathrm{M}_{22}
group:sporadic-m22
Expert review pending0 / 05eed25841fb3306b…
M23\mathrm{M}_{23}
group:sporadic-m23
Expert review pending0 / 051c1295e9c762391…
M24\mathrm{M}_{24}
group:sporadic-m24
Expert review pending0 / 0a3fd74d57ab84ab0…
J1\mathrm{J}_{1}
group:sporadic-j1
Expert review pending0 / 0a4395a79153aaf74…
J2\mathrm{J}_{2}
group:sporadic-j2
Expert review pending0 / 0234b31010090c867…
J3\mathrm{J}_{3}
group:sporadic-j3
Expert review pending0 / 04ebedc21bf4c1359…
J4\mathrm{J}_{4}
group:sporadic-j4
Expert review pending0 / 0de20037de1cdc2db…
Co1\mathrm{Co}_{1}
group:sporadic-co1
Expert review pending0 / 009639a22c691cc63…
Co2\mathrm{Co}_{2}
group:sporadic-co2
Expert review pending0 / 0333113f246c015e9…
Co3\mathrm{Co}_{3}
group:sporadic-co3
Expert review pending0 / 028892510bcae73da…
Fi22\mathrm{Fi}_{22}
group:sporadic-fi22
Expert review pending0 / 045c37a239fbee861…
Fi23\mathrm{Fi}_{23}
group:sporadic-fi23
Expert review pending0 / 01ef911a26fa0ba93…
Fi24′\mathrm{Fi}_{24}'
group:sporadic-fi24-prime
Expert review pending0 / 067e14e4ba0807fe9…
HS\mathrm{HS}
group:sporadic-hs
Expert review pending0 / 09e0a2089f83f6824…
McL\mathrm{McL}
group:sporadic-mcl
Expert review pending0 / 0749bb1656f1faeb8…
He\mathrm{He}
group:sporadic-he
Expert review pending0 / 04e409ccaa7408027…
Ru\mathrm{Ru}
group:sporadic-ru
Expert review pending0 / 090ad36ad71c751c0…
Suz\mathrm{Suz}
group:sporadic-suz
Expert review pending0 / 0c6d2f998143434e1…
O′N\mathrm{O'N}
group:sporadic-on
Expert review pending0 / 0364d91a26a7baf4c…
HN\mathrm{HN}
group:sporadic-hn
Expert review pending0 / 0bc70003b194e93b5…
Ly\mathrm{Ly}
group:sporadic-ly
Expert review pending0 / 00a153736637cb363…
Th\mathrm{Th}
group:sporadic-th
Expert review pending0 / 0aae94eb2314085e4…
B\mathrm{B}
group:sporadic-b
Expert review pending0 / 0e56282a3093c0f4d…
M\mathrm{M}
group:sporadic-m
Expert review pending0 / 0d72b919d5aa9fa73…
2 ⁣F4(2)′{}^{2}\!F_{4}(2)'
group:tits
Expert review pending0 / 0724541a75e63b26a…
Ar\mathrm{A}_{r}
family:lie-a
Expert review pending0 / 08fd550775b3041d3…
Br\mathrm{B}_{r}
family:lie-b
Expert review pending0 / 07e712937a7673c36…
Cr\mathrm{C}_{r}
family:lie-c
Expert review pending0 / 03e388b5e81035ba6…
Dr\mathrm{D}_{r}
family:lie-d
Expert review pending0 / 05a1d4d3a6f26017e…
E6\mathrm{E}_{6}
family:lie-e6
Expert review pending0 / 0b5fa0717b1e21e9b…
E7\mathrm{E}_{7}
family:lie-e7
Expert review pending0 / 046532a05747c8f9c…
E8\mathrm{E}_{8}
family:lie-e8
Expert review pending0 / 05da839ac7d919d46…
F4\mathrm{F}_{4}
family:lie-f4
Expert review pending0 / 0cc46ba3336010e70…
G2\mathrm{G}_{2}
family:lie-g2
Expert review pending0 / 00f77c2750aef5174…
sl(2,C)\mathfrak{sl}(2, \mathbb C)
algebra:a-1-c
Expert review pending0 / 01c262977c30b5943…
sl(3,C)\mathfrak{sl}(3, \mathbb C)
algebra:a-2-c
Expert review pending0 / 0b83e1406b6811dd6…
sl(4,C)\mathfrak{sl}(4, \mathbb C)
algebra:a-3-c
Expert review pending0 / 048a8b4c5330ce21f…
sl(5,C)\mathfrak{sl}(5, \mathbb C)
algebra:a-4-c
Expert review pending0 / 09793be128d2edc15…
so(5,C)≅sp(4,C)\mathfrak{so}(5, \mathbb C) \cong \mathfrak{sp}(4, \mathbb C)
algebra:b-2-c
Expert review pending0 / 098d964145ca6758f…
sp(6,C)\mathfrak{sp}(6, \mathbb C)
algebra:c-3-c
Expert review pending0 / 001f7875ff953b8ab…
so(8,C)\mathfrak{so}(8, \mathbb C)
algebra:d-4-c
Expert review pending0 / 0f2c7ca2d000d8c83…
so(10,C)\mathfrak{so}(10, \mathbb C)
algebra:d-5-c
Expert review pending0 / 07f198cba6834afa0…
e6(C)\mathfrak{e}_{6}(\mathbb C)
algebra:e-6-c
Expert review pending0 / 0a0b8a3a49d783f7d…
e7(C)\mathfrak{e}_{7}(\mathbb C)
algebra:e-7-c
Expert review pending0 / 0b03888c429d21a96…
e8(C)\mathfrak{e}_{8}(\mathbb C)
algebra:e-8-c
Expert review pending0 / 01bf96c100a76340b…
f4(C)\mathfrak{f}_{4}(\mathbb C)
algebra:f-4-c
Expert review pending0 / 0cdf19c141576c5cb…
g2(C)\mathfrak{g}_{2}(\mathbb C)
algebra:g-2-c
Expert review pending0 / 0018ec620f4c642a9…
sl(2,C)⊕sl(2,C)\mathfrak{sl}(2, \mathbb C) \oplus \mathfrak{sl}(2, \mathbb C)
algebra:a-1-plus-a-1-c
Expert review pending0 / 068cd4554c1e3afdc…
(C,[ , ]=0)(\mathbb C,[\, ,\,]=0)
algebra:abelian-1-c
Expert review pending0 / 04809ad5d1af81c1d…
sl(2,C)⊕C\mathfrak{sl}(2, \mathbb C) \oplus \mathbb C
algebra:a-1-plus-abelian-1-c
Expert review pending0 / 0e052c13789c68272…
su(2)\mathfrak{su}(2)
algebra:su-2-r
Expert review pending0 / 0237eabbecba62c9d…
su(3)\mathfrak{su}(3)
algebra:su-3-r
Expert review pending0 / 0dac00dd978723139…
su(4)≅so(6)\mathfrak{su}(4) \cong \mathfrak{so}(6)
algebra:su-4-r
Expert review pending0 / 0e148f48b9a4d01f3…
su(5)\mathfrak{su}(5)
algebra:su-5-r
Expert review pending0 / 086fa6425695e176f…
sp(2)≅so(5)\mathfrak{sp}(2) \cong \mathfrak{so}(5)
algebra:sp-2-compact-r
Expert review pending0 / 0689c8d8986d55000…
sp(3)\mathfrak{sp}(3)
algebra:sp-3-compact-r
Expert review pending0 / 00af0e3313321e446…
so(8)\mathfrak{so}(8)
algebra:so-8-compact-r
Expert review pending0 / 0841514ebde145049…
so(10)\mathfrak{so}(10)
algebra:so-10-compact-r
Expert review pending0 / 0d500b25dd1cdb47f…
e6  compact\mathfrak{e}_{6}\;\text{compact}
algebra:e-6-compact-r
Expert review pending0 / 012022d5d42cc398a…
e7  compact\mathfrak{e}_{7}\;\text{compact}
algebra:e-7-compact-r
Expert review pending0 / 0958de7d3ed5c092d…
e8  compact\mathfrak{e}_{8}\;\text{compact}
algebra:e-8-compact-r
Expert review pending0 / 0d2ff61585d18c1e2…
f4  compact\mathfrak{f}_{4}\;\text{compact}
algebra:f-4-compact-r
Expert review pending0 / 0dd8442782120b922…
g2  compact\mathfrak{g}_{2}\;\text{compact}
algebra:g-2-compact-r
Expert review pending0 / 0617330ca1f00c3bb…
su(2)⊕su(2)\mathfrak{su}(2) \oplus \mathfrak{su}(2)
algebra:so-4-compact-r
Expert review pending0 / 0eb57feb4b9a1309e…
u(1)\mathfrak{u}(1)
algebra:u-1-r
Expert review pending0 / 071ace703ee35b16d…
u(2)\mathfrak{u}(2)
algebra:u-2-r
Expert review pending0 / 03a8877c6371cded8…
sl(2,R)\mathfrak{sl}(2, \mathbb R)
algebra:sl-2-r
Expert review pending0 / 01befdf1c84e57eff…
sl(3,R)\mathfrak{sl}(3, \mathbb R)
algebra:sl-3-r
Expert review pending0 / 0fa230d5f7f1eb89b…
su(2,2)≅so(2,4)\mathfrak{su}(2,2) \cong \mathfrak{so}(2,4)
algebra:su-2-2-r
Expert review pending0 / 05d4b3193277bc887…
sp(4,R)≅so(2,3)\mathfrak{sp}(4, \mathbb R) \cong \mathfrak{so}(2,3)
algebra:sp-4-r
Expert review pending0 / 037e0015a02b1a32f…
sl(2,C)R\mathfrak{sl}(2,\mathbb C)_{\mathbb R}
algebra:sl-2-c-as-real
Expert review pending0 / 0285abda1585694fb…
su(2)\mathfrak{su}(2)
real-form:su-2-r
Expert review pending0 / 02c9afa7c9d180ab4…
su(3)\mathfrak{su}(3)
real-form:su-3-r
Expert review pending0 / 09167a79428794d8a…
su(4)≅so(6)\mathfrak{su}(4) \cong \mathfrak{so}(6)
real-form:su-4-r
Expert review pending0 / 0d452fc2e5722c3ad…
su(5)\mathfrak{su}(5)
real-form:su-5-r
Expert review pending0 / 024af78776ee10799…
sp(2)≅so(5)\mathfrak{sp}(2) \cong \mathfrak{so}(5)
real-form:sp-2-compact-r
Expert review pending0 / 0a23b7b786098c662…
sp(3)\mathfrak{sp}(3)
real-form:sp-3-compact-r
Expert review pending0 / 0c1263b57d3d4e106…
so(8)\mathfrak{so}(8)
real-form:so-8-compact-r
Expert review pending0 / 01f4eec89cf5354e4…
so(10)\mathfrak{so}(10)
real-form:so-10-compact-r
Expert review pending0 / 07e9d48949cc228ea…
e6  compact\mathfrak{e}_{6}\;\text{compact}
real-form:e-6-compact-r
Expert review pending0 / 08982ebd9284909e0…
e7  compact\mathfrak{e}_{7}\;\text{compact}
real-form:e-7-compact-r
Expert review pending0 / 084e8b96674d13cf4…
e8  compact\mathfrak{e}_{8}\;\text{compact}
real-form:e-8-compact-r
Expert review pending0 / 069df79caef7487f1…
f4  compact\mathfrak{f}_{4}\;\text{compact}
real-form:f-4-compact-r
Expert review pending0 / 0a44d09803c4d37a2…
g2  compact\mathfrak{g}_{2}\;\text{compact}
real-form:g-2-compact-r
Expert review pending0 / 0fbecae818eb4eb94…
su(2)⊕su(2)\mathfrak{su}(2) \oplus \mathfrak{su}(2)
real-form:so-4-compact-r
Expert review pending0 / 011f73f7e318ffdb7…
sl(2,R)\mathfrak{sl}(2, \mathbb R)
real-form:sl-2-r
Expert review pending0 / 02eda949576a808f7…
sl(3,R)\mathfrak{sl}(3, \mathbb R)
real-form:sl-3-r
Expert review pending0 / 0513562a73272303b…
su(2,2)≅so(2,4)\mathfrak{su}(2,2) \cong \mathfrak{so}(2,4)
real-form:su-2-2-r
Expert review pending0 / 09740cd457ac97186…
sp(4,R)≅so(2,3)\mathfrak{sp}(4, \mathbb R) \cong \mathfrak{so}(2,3)
real-form:sp-4-r
Expert review pending0 / 0f9bf1a6046ceb36b…
sl(2,C)R\mathfrak{sl}(2,\mathbb C)_{\mathbb R}
real-form:sl-2-c-as-real
Expert review pending0 / 04185f9c40d8dd6fc…
SU(4)\mathrm{SU}(4)
group:su-4
Expert review pending0 / 020d0a66332ea047a…
PSU(4)\mathrm{PSU}(4)
group:psu-4
Expert review pending0 / 058c6722b0e773fea…
SU(5)\mathrm{SU}(5)
group:su-5
Expert review pending0 / 0ec44156311200845…
U(2)\mathrm{U}(2)
group:u-2
Expert review pending0 / 0ca0ca31558ca4e49…
SO(4)\mathrm{SO}(4)
group:so-4
Expert review pending0 / 057518b50f79fe374…
SO(5)\mathrm{SO}(5)
group:so-5
Expert review pending0 / 0ea9d5c812b0d9366…
SO(6)\mathrm{SO}(6)
group:so-6
Expert review pending0 / 0783005d42007a814…
Sp(2)\mathrm{Sp}(2)
group:sp-2
Expert review pending0 / 0038418a6fa5a4624…
Sp(3)\mathrm{Sp}(3)
group:sp-3
Expert review pending0 / 03a5c010246a465c3…
Spin(8)\mathrm{Spin}(8)
group:spin-8
Expert review pending0 / 007e5818f673b2635…
SO(8)\mathrm{SO}(8)
group:so-8
Expert review pending0 / 0e17204a34c3c7455…
PSO(8)\mathrm{PSO}(8)
group:pso-8
Expert review pending0 / 012aa6adbf82caac6…
Spin(10)\mathrm{Spin}(10)
group:spin-10
Expert review pending0 / 02e8f302e5770ed47…
SO(10)\mathrm{SO}(10)
group:so-10
Expert review pending0 / 05ea8eab15fa5ec82…
G2  compact\mathrm{G}_{2}\;\text{compact}
group:g-2-compact
Expert review pending0 / 0c937f9537fa8c6e7…
F4  compact\mathrm{F}_{4}\;\text{compact}
group:f-4-compact
Expert review pending0 / 0a9b21a561c07b5d6…
E6  compact, simply connected\mathrm{E}_{6}\;\text{compact, simply connected}
group:e-6-compact-sc
Expert review pending0 / 05cb7af65c55a535e…
E7  compact, simply connected\mathrm{E}_{7}\;\text{compact, simply connected}
group:e-7-compact-sc
Expert review pending0 / 09670ae9a0df4ab18…
E8  compact\mathrm{E}_{8}\;\text{compact}
group:e-8-compact
Expert review pending0 / 0308b3b5d8846cda0…
E6  compact, adjoint\mathrm{E}_{6}\;\text{compact, adjoint}
group:e-6-compact-ad
Expert review pending0 / 0dcc3f454028d21b6…
E7  compact, adjoint\mathrm{E}_{7}\;\text{compact, adjoint}
group:e-7-compact-ad
Expert review pending0 / 0d2df5f6551586531…
SL(2,R)\mathrm{SL}(2, \mathbb R)
group:sl-2-r
Expert review pending0 / 0ba3a695f9f8fe898…
PSL(2,R)\mathrm{PSL}(2, \mathbb R)
group:psl-2-r
Expert review pending0 / 0f8f11ad9452ddf09…
SL(2,R)~\widetilde{\mathrm{SL}(2,\mathbb R)}
group:universal-cover-sl-2-r
Expert review pending0 / 0d77c5189f447fd04…
SL(3,R)\mathrm{SL}(3, \mathbb R)
group:sl-3-r
Expert review pending0 / 0f1db4de309275a80…
SU(2,2)\mathrm{SU}(2,2)
group:su-2-2
Expert review pending0 / 0436c7b9c29d49190…
Sp(4,R)\mathrm{Sp}(4, \mathbb R)
group:sp-4-r
Expert review pending0 / 0a854f8bd5a6f226e…
SO0(1,3)\mathrm{SO}_0(1,3)
group:so-1-3-identity
Expert review pending0 / 0a449bcf2788c74f3…
SO0(2,4)\mathrm{SO}_0(2,4)
group:so-2-4-identity
Expert review pending0 / 03e3e1ead1e886dbc…
SO0(2,3)\mathrm{SO}_0(2,3)
group:so-2-3-identity
Expert review pending0 / 059a6140c489b18ca…
SU(2)⟶SO(3)\mathrm{SU}(2) \longrightarrow \mathrm{SO}(3)
map:su-2-to-so-3
Expert review pending0 / 0277f2250d7da128e…
SU(3)⟶PSU(3)\mathrm{SU}(3) \longrightarrow \mathrm{PSU}(3)
map:su-3-to-psu-3
Expert review pending0 / 03f3c359bfd1f5dbe…
SU(2)↪SU(3)\mathrm{SU}(2) \hookrightarrow \mathrm{SU}(3)
map:su-2-to-su-3-regular
Expert review pending0 / 059c1ceef82d115ed…
SU(2)⟶SU(3),j=1\mathrm{SU}(2) \longrightarrow \mathrm{SU}(3),\quad j=1
map:su-2-to-su-3-principal
Expert review pending0 / 04514d7cb8435b62f…
U(1)↪SU(2)\mathrm{U}(1) \hookrightarrow \mathrm{SU}(2)
map:u-1-to-su-2
Expert review pending0 / 047c90ee3748b4bb3…
U(1)≅SO(2)↪SO(3)\mathrm{U}(1) \cong \mathrm{SO}(2) \hookrightarrow \mathrm{SO}(3)
map:u-1-to-so-3
Expert review pending0 / 06c62978ff05435d9…
Spin(4)⟶SO(4)\mathrm{Spin}(4) \longrightarrow \mathrm{SO}(4)
map:spin-4-to-so-4
Expert review pending0 / 0af5849776cf1ad04…
SU(4)⟶SO(6)\mathrm{SU}(4) \longrightarrow \mathrm{SO}(6)
map:su-4-to-so-6
Expert review pending0 / 0f81fc7050190b122…
SU(4)⟶PSU(4)\mathrm{SU}(4) \longrightarrow \mathrm{PSU}(4)
map:su-4-to-psu-4
Expert review pending0 / 0180e46f57c43d2c4…
Sp(2)⟶SO(5)\mathrm{Sp}(2) \longrightarrow \mathrm{SO}(5)
map:sp-2-to-so-5
Expert review pending0 / 0a45b87f2dc19546d…
Spin(8)⟶SO(8)\mathrm{Spin}(8) \longrightarrow \mathrm{SO}(8)
map:spin-8-to-so-8
Expert review pending0 / 01122dc5624f97bed…
Spin(10)⟶SO(10)\mathrm{Spin}(10) \longrightarrow \mathrm{SO}(10)
map:spin-10-to-so-10
Expert review pending0 / 056af31e5132a3766…
SL(2,C)⟶SO0(1,3)\mathrm{SL}(2, \mathbb C) \longrightarrow \mathrm{SO}_0(1,3)
map:sl-2-c-to-lorentz
Expert review pending0 / 007591e1dc0925a3b…
SL(2,R)⟶PSL(2,R)\mathrm{SL}(2, \mathbb R) \longrightarrow \mathrm{PSL}(2, \mathbb R)
map:sl-2-r-to-psl-2-r
Expert review pending0 / 0a328346b5e0a7b7a…
SL(2,R)~⟶SL(2,R)\widetilde{\mathrm{SL}(2,\mathbb R)} \longrightarrow \mathrm{SL}(2,\mathbb R)
map:universal-sl-2-r-to-sl-2-r
Expert review pending0 / 0e8586fbc8278f308…
SU(2,2)⟶SO0(2,4)\mathrm{SU}(2,2) \longrightarrow \mathrm{SO}_0(2,4)
map:su-2-2-to-so-2-4
Expert review pending0 / 0192eedce1f6be85e…
Sp(4,R)⟶SO0(2,3)\mathrm{Sp}(4, \mathbb R) \longrightarrow \mathrm{SO}_0(2,3)
map:sp-4-r-to-so-2-3
Expert review pending0 / 09746c5b45365acee…
SU(2)/U(1)≅S2\mathrm{SU}(2)/\mathrm{U}(1) \cong S^2
space:su-2-over-u-1
Expert review pending0 / 0e85cbe263b58d367…
SO(3)/SO(2)≅S2\mathrm{SO}(3)/\mathrm{SO}(2) \cong S^2
space:so-3-over-so-2
Expert review pending0 / 0fa05bf99ed727eeb…
C3:1C_3:\quad \mathbf{1}
representation:c-3-1
Expert review pending0 / 02c2c9268ae04eb9b…
C3:χC_3:\quad \chi
representation:c-3-chi
Expert review pending0 / 07ae2185859b9c2fc…
C3:χ2C_3:\quad \chi^2
representation:c-3-chi2
Expert review pending0 / 073d1561c1523d301…
S3:1S_3:\quad \mathbf{1}
representation:s-3-1
Expert review pending0 / 0f098aef1c8a5c877…
S3:sgnS_3:\quad \mathrm{sgn}
representation:s-3-sgn
Expert review pending0 / 08325443586464e3b…
S3:2S_3:\quad \mathbf{2}
representation:s-3-2
Expert review pending0 / 083c9bd59e4f72c05…
D8:1D_8:\quad \mathbf{1}
representation:d-8-1
Expert review pending0 / 008b889d792aa88df…
D8:aD_8:\quad a
representation:d-8-a
Expert review pending0 / 06b53ff339318ca34…
D8:bD_8:\quad b
representation:d-8-b
Expert review pending0 / 0bf3af5d37b7b5912…
D8:cD_8:\quad c
representation:d-8-c
Expert review pending0 / 020ad5e0587d2687d…
D8:2D_8:\quad \mathbf{2}
representation:d-8-2
Expert review pending0 / 0de2af87c5e3ddac8…
Q8:1Q_8:\quad \mathbf{1}
representation:q-8-1
Expert review pending0 / 0987db73e5a316429…
Q8:aQ_8:\quad a
representation:q-8-a
Expert review pending0 / 0a1536cc4dcfbd9b1…
Q8:bQ_8:\quad b
representation:q-8-b
Expert review pending0 / 059a1f21c69a290a1…
Q8:cQ_8:\quad c
representation:q-8-c
Expert review pending0 / 005fc4066faae2f5d…
Q8:2Q_8:\quad \mathbf{2}
representation:q-8-2
Expert review pending0 / 0f9869e40e63735ff…
A4:1A_4:\quad \mathbf{1}
representation:a-4-1
Expert review pending0 / 0dcffcf5548b0fe76…
A4:1′A_4:\quad \mathbf{1}'
representation:a-4-1p
Expert review pending0 / 0128ca42bd0eab805…
A4:1′′A_4:\quad \mathbf{1}''
representation:a-4-1pp
Expert review pending0 / 03b06688c306d4806…
A4:3A_4:\quad \mathbf{3}
representation:a-4-3
Expert review pending0 / 065a9ae5e9864dfac…
S4:1S_4:\quad \mathbf{1}
representation:s-4-1
Expert review pending0 / 09da01752ea900682…
S4:sgnS_4:\quad \mathrm{sgn}
representation:s-4-sgn
Expert review pending0 / 0a93f5a1e8f6a7ad2…
S4:2S_4:\quad \mathbf{2}
representation:s-4-2
Expert review pending0 / 0636f096cdc84b769…
S4:3S_4:\quad \mathbf{3}
representation:s-4-3
Expert review pending0 / 06b67798c6c221a8d…
S4:3′S_4:\quad \mathbf{3}'
representation:s-4-3p
Expert review pending0 / 0fbe3e6e7934028ea…
A5:1A_5:\quad \mathbf{1}
representation:a-5-1
Expert review pending0 / 000f0c4fc8cbd4809…
A5:3A_5:\quad \mathbf{3}
representation:a-5-3
Expert review pending0 / 0273d59695a1db019…
A5:3′A_5:\quad \mathbf{3}'
representation:a-5-3p
Expert review pending0 / 0592fcb2e643e93fe…
A5:4A_5:\quad \mathbf{4}
representation:a-5-4
Expert review pending0 / 0832b2e1e0ad2f90b…
A5:5A_5:\quad \mathbf{5}
representation:a-5-5
Expert review pending0 / 060ca2cef74e93c93…
A1:V(1)A_{1}:\quad V_{(1)}
representation:su-2-weight-1
Expert review pending0 / 0dbb4714d335deef2…
A1:V(2)A_{1}:\quad V_{(2)}
representation:su-2-weight-2
Expert review pending0 / 045d043689eab89e2…
A2:V(1,0)A_{2}:\quad V_{(1,0)}
representation:su-3-weight-1-0
Expert review pending0 / 047618c9b8f959c98…
A2:V(0,1)A_{2}:\quad V_{(0,1)}
representation:su-3-weight-0-1
Expert review pending0 / 0d4353e2a6daeb616…
A2:V(1,1)A_{2}:\quad V_{(1,1)}
representation:su-3-weight-1-1
Expert review pending0 / 0c9f4cb31aac1265c…
A2:V(2,0)A_{2}:\quad V_{(2,0)}
representation:su-3-weight-2-0
Expert review pending0 / 00d358bc7f3c83a43…
A2:V(3,0)A_{2}:\quad V_{(3,0)}
representation:su-3-weight-3-0
Expert review pending0 / 070c748d8bd66b1a2…
A2:V(2,2)A_{2}:\quad V_{(2,2)}
representation:su-3-weight-2-2
Expert review pending0 / 099f2727dad6aae36…
A3:V(1,0,0)A_{3}:\quad V_{(1,0,0)}
representation:su-4-weight-1-0-0
Expert review pending0 / 0e4033e892624fd26…
A3:V(0,1,0)A_{3}:\quad V_{(0,1,0)}
representation:su-4-weight-0-1-0
Expert review pending0 / 0be3f88cd42357de2…
A3:V(1,0,1)A_{3}:\quad V_{(1,0,1)}
representation:su-4-weight-1-0-1
Expert review pending0 / 08819252789036b6a…
A4:V(1,0,0,0)A_{4}:\quad V_{(1,0,0,0)}
representation:su-5-weight-1-0-0-0
Expert review pending0 / 05a8e8b8217549ad1…
A4:V(0,1,0,0)A_{4}:\quad V_{(0,1,0,0)}
representation:su-5-weight-0-1-0-0
Expert review pending0 / 0ea8acc89cbe65912…
A4:V(1,0,0,1)A_{4}:\quad V_{(1,0,0,1)}
representation:su-5-weight-1-0-0-1
Expert review pending0 / 0a6e6750954c8d904…
C2:V(1,0)C_{2}:\quad V_{(1,0)}
representation:sp-2-weight-1-0
Expert review pending0 / 04fab57f139729a76…
C2:V(0,1)C_{2}:\quad V_{(0,1)}
representation:sp-2-weight-0-1
Expert review pending0 / 060b0ec87b5606e79…
D4:V(1,0,0,0)D_{4}:\quad V_{(1,0,0,0)}
representation:spin-8-weight-1-0-0-0
Expert review pending0 / 0484ef33e66f0c546…
D4:V(0,0,1,0)D_{4}:\quad V_{(0,0,1,0)}
representation:spin-8-weight-0-0-1-0
Expert review pending0 / 08229b723a11781e2…
D4:V(0,0,0,1)D_{4}:\quad V_{(0,0,0,1)}
representation:spin-8-weight-0-0-0-1
Expert review pending0 / 077fdc4ec3ee1d8fa…
D5:V(1,0,0,0,0)D_{5}:\quad V_{(1,0,0,0,0)}
representation:spin-10-weight-1-0-0-0-0
Expert review pending0 / 02e4422457377edba…
D5:V(0,0,0,0,1)D_{5}:\quad V_{(0,0,0,0,1)}
representation:spin-10-weight-0-0-0-0-1
Expert review pending0 / 034e2a9dcc168124a…
D5:V(0,0,0,1,0)D_{5}:\quad V_{(0,0,0,1,0)}
representation:spin-10-weight-0-0-0-1-0
Expert review pending0 / 0f25b64a9784dffa1…
D5:V(0,1,0,0,0)D_{5}:\quad V_{(0,1,0,0,0)}
representation:spin-10-weight-0-1-0-0-0
Expert review pending0 / 01f0b76e3f06fbbe2…
G2:V(1,0)G_{2}:\quad V_{(1,0)}
representation:g-2-compact-weight-1-0
Expert review pending0 / 08ae3657777137b95…
G2:V(0,1)G_{2}:\quad V_{(0,1)}
representation:g-2-compact-weight-0-1
Expert review pending0 / 09f3b2830840d893a…
F4:V(0,0,0,1)F_{4}:\quad V_{(0,0,0,1)}
representation:f-4-compact-weight-0-0-0-1
Expert review pending0 / 0f85b40dc294b5d4e…
F4:V(1,0,0,0)F_{4}:\quad V_{(1,0,0,0)}
representation:f-4-compact-weight-1-0-0-0
Expert review pending0 / 02ea338c7655747a1…
E6:V(1,0,0,0,0,0)E_{6}:\quad V_{(1,0,0,0,0,0)}
representation:e-6-compact-sc-weight-1-0-0-0-0-0
Expert review pending0 / 05adf094278a67d32…
E6:V(0,1,0,0,0,0)E_{6}:\quad V_{(0,1,0,0,0,0)}
representation:e-6-compact-sc-weight-0-1-0-0-0-0
Expert review pending0 / 0abda0cfc2d18e3a9…
E7:V(0,0,0,0,0,0,1)E_{7}:\quad V_{(0,0,0,0,0,0,1)}
representation:e-7-compact-sc-weight-0-0-0-0-0-0-1
Expert review pending0 / 0f5694748dd83cbd7…
E7:V(1,0,0,0,0,0,0)E_{7}:\quad V_{(1,0,0,0,0,0,0)}
representation:e-7-compact-sc-weight-1-0-0-0-0-0-0
Expert review pending0 / 0876c6576d19c1420…
E8:V(0,0,0,0,0,0,0,1)E_{8}:\quad V_{(0,0,0,0,0,0,0,1)}
representation:e-8-compact-weight-0-0-0-0-0-0-0-1
Expert review pending0 / 0f223585570cb30fa…
su(3)⊕su(2)⊕u(1)\mathfrak{su}(3)\oplus\mathfrak{su}(2)\oplus\mathfrak u(1)
algebra:standard-model-r
Expert review pending0 / 07d9277d1b13348e0…
SU(3)×SU(2)×U(1)SU(3)\times SU(2)\times U(1)
group:standard-model-z1
Expert review pending0 / 0441ce501c0056bce…
GSM(2)G_{\mathrm{SM}}^{(2)}
group:standard-model-z2
Expert review pending0 / 097f5b698d1b80183…
GSM(3)G_{\mathrm{SM}}^{(3)}
group:standard-model-z3
Expert review pending0 / 0bb319841437613a1…
GSM(6)G_{\mathrm{SM}}^{(6)}
group:standard-model-z6
Expert review pending0 / 0c9514f7c48c68ed9…
GSM(1)⟶GSM(2)G_{\mathrm{SM}}^{(1)}\longrightarrow G_{\mathrm{SM}}^{(2)}
map:standard-model-cover-to-z2
Expert review pending0 / 01a99456805039a68…
GSM(1)⟶GSM(3)G_{\mathrm{SM}}^{(1)}\longrightarrow G_{\mathrm{SM}}^{(3)}
map:standard-model-cover-to-z3
Expert review pending0 / 068b832d65f92402d…
GSM(1)⟶GSM(6)G_{\mathrm{SM}}^{(1)}\longrightarrow G_{\mathrm{SM}}^{(6)}
map:standard-model-cover-to-z6
Expert review pending0 / 0134f6331b44a7135…
SU(3)×SU(2)×U(1)X⟶SU(5)SU(3)\times SU(2)\times U(1)_X\longrightarrow SU(5)
map:su-3-su-2-u1-to-su-5-block
Expert review pending0 / 08ce75aff7d416a35…
GSM(6)↪SU(5)G_{\mathrm{SM}}^{(6)}\hookrightarrow SU(5)
map:standard-model-z6-into-su5
Expert review pending0 / 04939c658cffd66c7…

Edition 2026.11-workbench.4. Full fingerprints and review status are available in the review manifest.