Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Kazhdan–Lusztig_theory
classification of irreducible representations category O in representation theory |
| gptkbp:category |
modules over a Lie algebra
|
| gptkbp:field |
representation theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Verma modules
|
| 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_algebras
highest weight modules |
| gptkbp:usedIn |
study of representations of semisimple Lie algebras
|
| gptkbp:bfsParent |
gptkb:Kac_determinant
gptkb:Kostant–Parthasarathy–Ranga_Rao–Varadarajan_determinant_formula |
| gptkbp:bfsLayer |
6
|