Local systems of shapovalov elements

DOI10.1080/00927879508825386zbMath0837.17005OpenAlexW2067605631MaRDI QIDQ4843208

Kevin J. Carlin

Publication date: 13 August 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825386

zbMATH Keywords

Verma modulesenveloping algebrahighest weightslocal systemlowering operatorShapovalov elementroot hyperplane

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items (2)

Shapovalov elements of classical and quantum groups ⋮ Explicit expressions for Šapovalov elements in type A

Cites Work

• Homomorphisms between Verma modules in characteristic p
• Moduln mit einem höchsten Gewicht
• On the modular representations of the general linear and symmetric groups

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