Verma module

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Kazhdan–Lusztig_conjecture
gptkb:BGG_category_O
classification of irreducible representations
gptkbp:category module over a Lie algebra
gptkbp:field gptkb:mathematics
representation theory
https://www.w3.org/2000/01/rdf-schema#label Verma module
gptkbp:introducedIn 1960s
gptkbp:namedAfter gptkb:Daya-Nand_Verma
gptkbp:property constructed from a highest weight vector
has unique irreducible quotient
not necessarily irreducible
universal highest weight module
gptkbp:relatedTo gptkb:Lie_group
highest weight module
gptkbp:usedIn study of representations of semisimple Lie algebras
gptkbp:bfsParent gptkb:Virasoro_algebra
gptkb:Representation_theory
gptkb:Kazhdan–Lusztig_conjecture
gptkbp:bfsLayer 5