special linear group SL(n, C)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people gptkb:Lie_group
gptkbp:actsOn	complex vector space of dimension n
gptkbp:centralTo	cyclic group of order n
gptkbp:compact	true
gptkbp:containsElement	n x n complex matrices with determinant 1
gptkbp:definedIn	complex numbers
gptkbp:determinant	1
gptkbp:dimensions	n^2 - 1
gptkbp:hasConnection	true
gptkbp:hasSubgroup	gptkb:general_linear_group_GL(n,_C)
gptkbp:hasTrivialDeterminant	true
gptkbp:isAlgebraicGroup	true
gptkbp:isChevalleyGroup	true
gptkbp:isClassicalGroup	true
gptkbp:isConnectedLieGroup	true
gptkbp:isMatrixGroup	true
gptkbp:isNonAbelian	true
gptkbp:isPerfect	true
gptkbp:isQuotientOf	gptkb:projective_special_linear_group_PSL(n,_C)
gptkbp:isReductive	true
gptkbp:isSemisimple	true
gptkbp:isSimple	true
gptkbp:Lie_algebra	gptkb:sl(n,_C)
gptkbp:notation	gptkb:SL(n,_C)
gptkbp:universalCover	gptkb:projective_special_linear_group_PSL(n,_C)
gptkbp:usedIn	gptkb:algebraic_geometry gptkb:theoretical_physics differential geometry representation theory
gptkbp:bfsParent	gptkb:special_unitary_group_SU(n)
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	special linear group SL(n, C)