Inverting the Shapovalov form

DOI10.1016/0021-8693(92)90254-JzbMath0754.17007MaRDI QIDQ1186761

Peter Ostapenko

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

complex semisimple Lie algebrainverse of the Shapovalov formirreducible Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Extensions of ``thickened Verma modules of the Virasoro algebra. ⋮ Strict quantization of coadjoint orbits ⋮ Comparison and continuity of Wick-type star products on certain coadjoint orbits ⋮ Orthogonal basis for the Shapovalov form on $U_q(\mathfrak{sl}(n + 1))$ ⋮ Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state

Cites Work

• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Whittaker vectors and conical vectors
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Introduction to Lie Algebras and Representation Theory