Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
complex hyperbolic plane
|
| gptkbp:centralTo |
cyclic group of order 3
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
8
|
| gptkbp:fullName |
Special Unitary Group of signature (2,1)
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasMaximalSubgroup |
S(U(2)×U(1))
|
| gptkbp:hasSubgroup |
gptkb:SL(3,C)
|
| gptkbp:isLieGroupOver |
real numbers
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:preserves |
Hermitian form of signature (2,1)
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:SL(3,C)
|
| gptkbp:relatedTo |
automorphism group of complex hyperbolic plane
complex hyperbolic geometry |
| gptkbp:usedIn |
differential geometry
mathematical physics representation theory |
| gptkbp:bfsParent |
gptkb:special_unitary_group_SU(3)
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
SU(2,1)
|