Spin(14)

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkbp:centralTo gptkb:Z/4Z
gptkbp:complexification Spin(14,ℂ)
gptkbp:dimensions 91
gptkbp:field_of_definition

gptkbp:hasSubgroup gptkb:Spin(16)
E8
https://www.w3.org/2000/01/rdf-schema#label Spin(14)
gptkbp:is_a_double_cover_of gptkb:SO(14)
gptkbp:Lie_algebra spin(14)
gptkbp:rank 7
gptkbp:realForm Spin(14,ℝ)
gptkbp:relatedTo Clifford algebra Cl(14)
gptkbp:represents conjugate spinor representation (64-dimensional)
spinor representation (64-dimensional)
vector representation (14-dimensional)
gptkbp:type gptkb:Lie_group
D7
simply connected Lie group
gptkbp:Weyl_group Weyl(D7)
gptkbp:bfsParent gptkb:D_7_root_system
gptkb:Spin(12)
gptkbp:bfsLayer 8