so(12)

URI: https://gptkb.org/entity/so(12)
GPTKB entity
Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
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
https://www.w3.org/2000/01/rdf-schema#label so(12)
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 7