special linear group SL(5)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people gptkb:Lie_group
gptkbp:centralTo	cyclic group of order 5 (over algebraically closed field)
gptkbp:definedIn	gptkb:Field
gptkbp:describes	group of 5x5 matrices with determinant 1
gptkbp:dimensions	24
gptkbp:fieldParameter	F (arbitrary field)
gptkbp:hasConnection	yes
gptkbp:hasSubgroup	general linear group GL(5)
https://www.w3.org/2000/01/rdf-schema#label	special linear group SL(5)
gptkbp:isAlgebraicGroup	yes
gptkbp:isChevalleyGroup	yes
gptkbp:isClassicalGroup	yes
gptkbp:isConnectedLieGroup	yes (over R or C)
gptkbp:isMatrixGroup	yes
gptkbp:isNonAbelian	yes
gptkbp:isPerfect	yes (for n>2)
gptkbp:isQuotientOf	projective special linear group PSL(5)
gptkbp:isReductive	yes
gptkbp:isSemisimple	yes
gptkbp:isSimple	yes (for field with more than 3 elements) yes (over C)
gptkbp:isSpecialLinearGroup	yes
gptkbp:notation	SL(5) SL_5
gptkbp:order	infinite
gptkbp:rank	4
gptkbp:relatedTo	general linear group GL(5)
gptkbp:type	gptkb:A4 gptkb:A4_(Dynkin_type)
gptkbp:universalCover	itself (simply connected)
gptkbp:bfsParent	gptkb:A4_(Dynkin_type)
gptkbp:bfsLayer	7