Leading weight vectors and homomorphisms between generalized Verma modules

DOI10.1016/j.jalgebra.2015.02.016zbMath1311.22019OpenAlexW2010714132MaRDI QIDQ2339484

Wei Xiao

Publication date: 1 April 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.02.016

zbMATH Keywords

differential operatorhomomorphismVerma moduleweight vector

Mathematics Subject Classification ID

Related Items (5)

Differential-operator representations of Weyl group and singular vectors in Verma modules ⋮ A note on parabolic Verma module homomorphisms over Kac-Moody algebras ⋮ Reducibility of generalized Verma modules for Hermitian symmetric pairs ⋮ Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Covariant differential operators
• A duality theorem for extensions of induced highest weight modules
• Conformally invariant systems of differential operators
• Conformally invariant differential operators on Minkowski space and their curved analogues
• Determination of the intertwining operators for holomorphically induced representations of Hermitian symmetric pairs
• Representations of real reductive Lie groups
• Representations of Coxeter groups and Hecke algebras
• Existence of conical vectors in induced modules
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Category of \(\mathfrak g\) modules
• A generalization of the Bernstein-Gelfand-Gelfand resolution
• Intertwining differential operators and reducibility of generalized Verma modules
• Parabolic geometries and canonical Cartan connections
• Fusion categories arising from semisimple Lie algebras
• Dirac cohomology of highest weight modules
• Equivariant first order differential operators on boundaries of symmetric spaces
• The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras
• Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type
• Kostant Modules in Blocks of Category 𝒪_S
• Homomorphisms Between Generalized Verma Modules
• Differential operators and highest weight representations
• Conical Vectors in Induced Modules
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Kategorie O , Perverse Garben Und Moduln Uber Den Koinvariantez Zur Weylgruppe
• Structure of certain induced representations of complex semisimple Lie algebras
• Introduction to Lie Algebras and Representation Theory
• Lie groups beyond an introduction
• Bernstein-Gelfand-Gelfand sequences

This page was built for publication: Leading weight vectors and homomorphisms between generalized Verma modules