E 8 representation theory

URI: https://gptkb.org/entity/E_8_representation_theory

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:concerns	gptkb:Weyl_group_of_E_8 gptkb:root_system_of_E_8 adjoint representation finite-dimensional representations fundamental representations highest weight modules infinite-dimensional representations weight lattice of E_8
gptkbp:dimension_of_adjoint_representation	248
gptkbp:dimension_of_smallest_nontrivial_representation	248
gptkbp:hasProperty	complex, highly structured representation theory no nontrivial low-dimensional representations all representations are completely reducible (in characteristic 0)
https://www.w3.org/2000/01/rdf-schema#label	E 8 representation theory
gptkbp:relatedTo	gptkb:E_8_Lie_group gptkb:E_8_Weyl_group gptkb:Lie_algebras gptkb:Lie_groups gptkb:exceptional_Lie_groups gptkb:E_8_Lie_algebra gptkb:E_8_lattice gptkb:E_8_root_system representation theory
gptkbp:studiedBy	gptkb:mathematician physicists
gptkbp:studies	representations of the E_8 Lie algebra representations of the E_8 Lie group
gptkbp:usedIn	gptkb:algebraic_geometry gptkb:theoretical_physics gptkb:string_theory mathematical physics number theory grand unified theories
gptkbp:bfsParent	gptkb:E_8_Lie_algebra
gptkbp:bfsLayer	7