SU(2,1)

GPTKB entity

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)
https://www.w3.org/2000/01/rdf-schema#label SU(2,1)
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