D 7 root system

URI: https://gptkb.org/entity/D_7_root_system
GPTKB entity
Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:root
gptkbp:automorphismGroup gptkb:S_2
gptkbp:Coxeter_number 12
gptkbp:dimensions 7
gptkbp:dual_Coxeter_number 12
gptkbp:Dynkin_diagram gptkb:D_7_Dynkin_diagram
gptkbp:fundamentalGroup gptkb:Z/4Z
https://www.w3.org/2000/01/rdf-schema#label D 7 root system
gptkbp:is_crystallographic true
gptkbp:is_irreducible true
gptkbp:is_reduced true
gptkbp:is_simply_laced true
gptkbp:number_of_roots 84
gptkbp:rank 7
gptkbp:related_Lie_algebra so(14)
gptkbp:related_Lie_group gptkb:SO(14)
gptkb:Spin(14)
gptkbp:simple_roots 7
gptkbp:type D_n
gptkbp:used_in_classification_of gptkb:semisimple_Lie_algebras
gptkbp:Weyl_group gptkb:Weyl_group_of_type_D_7
gptkbp:bfsParent gptkb:E_7_root_system
gptkbp:bfsLayer 7