Differential Equations for Singular Vectors ofsp(2n)

DOI10.1080/00927870500261496zbMath1106.17010arXivmath/0305180OpenAlexW2144237729MaRDI QIDQ5478662

Xiaoping Xu

Publication date: 13 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0305180

zbMATH Keywords

equationVerma moduleweightsingular vector

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Differential-operator representations of Weyl group and singular vectors in Verma modules

Cites Work

• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Projective modules over graded Lie algebras. I
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Existence of conical vectors in induced modules
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• On multiplicity in the Jordan-Hölder series of Verma modules
• Generalized Verma modules, the Cartan-Helgason theorem, and the Harish- Chandra homomorphism
• Zur Charakterformel gewisser Darstellungen halbeinfacher Gruppen und Lie-Algebren
• Singular vectors in Verma modules over Kac-Moody algebras
• Differential invariants of classical groups
• Structure of representations generated by vectors of highest weight
• Structure of certain induced representations of complex semisimple Lie algebras
• Introduction to Lie Algebras and Representation Theory

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