Special Linear Group of 3x3 Complex Matrices

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:algebraic_geometry gptkb:group_of_people gptkb:Lie_group
gptkbp:abbreviation	SL(3, C)
gptkbp:actsOn	gptkb:complex_projective_plane
gptkbp:centralTo	cyclic group of order 3
gptkbp:compact	true
gptkbp:defines	group of 3x3 complex matrices with determinant 1
gptkbp:dimensions	8
gptkbp:field	complex numbers
gptkbp:hasConnection	true
gptkbp:hasMaximalSubgroup	gptkb:SU(3)
gptkbp:hasSubgroup	General Linear Group of 3x3 Complex Matrices
https://www.w3.org/2000/01/rdf-schema#label	Special Linear Group of 3x3 Complex Matrices
gptkbp:isAlgebraicGroup	C true complex numbers
gptkbp:isChevalleyGroup	true
gptkbp:isClassicalGroup	true
gptkbp:isComplexLieGroup	true
gptkbp:isConnectedComponentOfIdentity	SL(3, C)
gptkbp:isNonAbelian	true
gptkbp:isQuotientOf	Projective Special Linear Group PSL(3, C)
gptkbp:isReductive	true
gptkbp:isSemisimple	true
gptkbp:isSimple	true
gptkbp:isTypeA2	true
gptkbp:isUniversalCoveringGroupOf	PSL(3, C)
gptkbp:Lie_algebra	sl(3, C)
gptkbp:rank	2
gptkbp:type	gptkb:A2
gptkbp:usedIn	gptkb:algebraic_geometry gptkb:gauge_theory gptkb:geometry gptkb:theoretical_physics gptkb:topology gptkb:Langlands_program differential geometry group theory modular forms number theory particle physics quantum mechanics representation theory automorphic forms
gptkbp:Weyl_group	gptkb:symmetric_group_S3
gptkbp:bfsParent	gptkb:SL(3,C)
gptkbp:bfsLayer	7