special orthogonal group SO(10)

URI: https://gptkb.org/entity/special_orthogonal_group_SO(10)
GPTKB entity
Statements (35)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:Lie_group
simple group
gptkbp:actsOn 10-dimensional real vector space
gptkbp:Cartan_subalgebra_dimension 5
gptkbp:centralTo gptkb:Z_4
gptkbp:compact true
gptkbp:connects true
gptkbp:dimensions 45
gptkbp:first_Chern_class 0
gptkbp:fundamental_representation 10-dimensional
16-dimensional spinor
45-dimensional adjoint
gptkbp:generator_count 45
gptkbp:hasSubgroup gptkb:orthogonal_group_O(10)
gptkb:special_orthogonal_group_SO(n)
gptkb:general_linear_group_GL(10)
gptkbp:highest_weight_representations 5
https://www.w3.org/2000/01/rdf-schema#label special orthogonal group SO(10)
gptkbp:isNonAbelian true
gptkbp:Lie_algebra so(10)
gptkbp:rank 5
gptkbp:realForm complex Lie group SO(10, C)
gptkbp:relatedTo gptkb:SU(5)
gptkb:Spin(10)
gptkb:Pati–Salam_model
E6
gptkbp:simply_connected_cover gptkb:Spin(10)
gptkbp:type gptkb:D5
gptkbp:used_in gptkb:string_theory
particle physics
grand unified theory
gptkbp:Weyl_group gptkb:Weyl_group_of_D5
gptkbp:bfsParent gptkb:Spin(10)
gptkbp:bfsLayer 7