Explicit expressions for Šapovalov elements in type A

DOI10.1016/J.JALGEBRA.2022.12.033OpenAlexW4315881036MaRDI QIDQ2694745

Ian M. Musson

Publication date: 4 April 2023

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

Full work available at URL: https://arxiv.org/abs/2203.02813

zbMATH Keywords

highest weight modulesLie superalgebrasŠapovalov elements

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Linear algebraic groups and related topics (20Gxx) Representation theory of groups (20Cxx)

Cites Work

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• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• Homomorphisms between Verma modules in characteristic p
• On the modular representations of the general linear and symmetric groups
• On homomorphisms between Weyl modules and Specht modules
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Local systems of shapovalov elements

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