On multiplicity in the Jordan-Hölder series of Verma modules

DOI10.1016/0021-8693(77)90255-1zbMath0381.17004OpenAlexW2042469382MaRDI QIDQ1248149

Vinay V. Deodhar, James Lepowsky

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90255-1

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (4)

Differential-operator representations of \(S_n\) and singular vectors in Verma modules ⋮ Lie groups ⋮ On multiplicity in the Jordan-Hölder series of Verma modules ⋮ Differential Equations for Singular Vectors ofsp(2n)

Cites Work

• Existence of conical vectors in induced modules
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• On multiplicity in the Jordan-Hölder series of Verma modules
• A generalization of the Bernstein-Gelfand-Gelfand resolution
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren
• Structure of representations generated by vectors of highest weight
• Conical Vectors in Induced Modules
• Structure of certain induced representations of complex semisimple Lie algebras
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