Reducibility of generalized Verma modules for Hermitian symmetric pairs
From MaRDI portal
Publication:2207271
DOI10.1016/j.jpaa.2020.106561zbMath1475.17012OpenAlexW3084306643MaRDI QIDQ2207271
Publication date: 22 October 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106561
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 (3)
Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras ⋮ Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules ⋮ Jantzen coefficients and simplicity of parabolic Verma modules
Cites Work
- On the reducibility of scalar generalized Verma modules of abelian type
- On the unitarizability of derived functor modules
- Categorification of (induced) cell modules and the rough structure of generalised Verma modules
- Conformally invariant systems of differential operators
- Hermitian symmetric spaces and their unitary highest weight modules
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- Intertwining differential operators and reducibility of generalized Verma modules
- Differential-operator representations of Weyl group and singular vectors in Verma modules
- Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I
- Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules
- On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras
- Unitarizability of certain series of representations
- Leading weight vectors and homomorphisms between generalized Verma modules
- 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
- The Gelfand-Kirillov dimension of a unitary highest weight module
- Homomorphisms Between Generalized Verma Modules
- Continuation of unitary derived functor modules out of the canonical chamber
- Basic covariant differential operators on hermitian symmetric spaces
- Structure of Modules Induced from Simple Modules with Minimal Annihilator
- Introduction to Lie Algebras and Representation Theory
- Gelfand–Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $\boldsymbol{{SU}(p,q)}$
- Lie groups beyond an introduction
- Generalized Verma modules induced from \(sl(2,\mathbb{C})\) and associated Verma modules
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Reducibility of generalized Verma modules for Hermitian symmetric pairs
