SO(5)

URI: https://gptkb.org/entity/SO(5)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group
gptkbp:application	gptkb:geometry gptkb:theoretical_physics representation theory
gptkbp:centralTo	{I, -I}
gptkbp:compact	true
gptkbp:connects	true
gptkbp:dimensions	10
gptkbp:fullName	gptkb:Special_orthogonal_group_in_5_dimensions
gptkbp:fundamentalGroup	gptkb:Z_2
https://www.w3.org/2000/01/rdf-schema#label	SO(5)
gptkbp:isNonAbelian	true
gptkbp:isomorphicTo	gptkb:Sp(2)/Z_2
gptkbp:Lie_algebra	so(5)
gptkbp:maximalTorusDimension	2
gptkbp:rank	2
gptkbp:realForm	gptkb:SO(5,_C)
gptkbp:relatedGroup	5x5 orthogonal matrices with determinant 1
gptkbp:relatedTo	gptkb:Sp(2) gptkb:Spin(5)
gptkbp:rootSystemType	gptkb:B2
gptkbp:type	gptkb:group_of_people gptkb:Lie_group
gptkbp:universalCover	gptkb:Spin(5)
gptkbp:bfsParent	gptkb:de_Sitter_group gptkb:SO(5)xSO(5) gptkb:SO(1,4)
gptkbp:bfsLayer	7