so(12)

URI: https://gptkb.org/entity/so(12)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group gptkb:orthogonal_group
gptkbp:Cartan_subalgebra_dimension	6
gptkbp:centralTo	gptkb:Z/2Z_×_Z/2Z
gptkbp:compact	gptkb:so(12)
gptkbp:complexification	gptkb:so(12,C)
gptkbp:dimensions	66
gptkbp:fundamentalGroup	gptkb:Z/4Z
gptkbp:Lie_algebra_of	gptkb:SO(12)
gptkbp:rank	6
gptkbp:real_rank	6
gptkbp:realForm	gptkb:so(12,C)
gptkbp:relatedTo	gptkb:Spin(12) gptkb:SO(12)
gptkbp:split_form	so(12,12)
gptkbp:type	gptkb:D6
gptkbp:used_in	gptkb:theoretical_physics representation theory
gptkbp:Weyl_group	gptkb:Weyl_group_of_D6
gptkbp:bfsParent	gptkb:magic_square_(Freudenthal–Tits_construction)
gptkbp:bfsLayer	9
https://www.w3.org/2000/01/rdf-schema#label	so(12)