Extensions between generalized Verma modules: The Hermitian symmetric cases
From MaRDI portal
Publication:1821184
DOI10.1007/BF01418333zbMath0616.17002OpenAlexW2095484797MaRDI QIDQ1821184
Publication date: 1988
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/183736
\({\mathfrak u}\)-cohomologyextensions between generalized Verma modulesindecomposable Hermitian symmetric pairregular integral character
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items
On the Ext algebras of parabolic Verma modules and \(A_{\infty}\)-structures ⋮ Weakly Cohen-Macaulay posets and a class of finite-dimensional graded quadratic algebras ⋮ Quantization and injective submodules of differential operator modules ⋮ Closed product formulas for extensions of generalized Verma modules
Cites Work
- Decompositions in categories of highest weight modules
- Determination of the intertwining operators for holomorphically induced representations of Hermitian symmetric pairs
- Representations of Coxeter groups and Hecke algebras
- Wave equation scattering in even-dimensional spaces
- Extensions of Verma Modules
- Categories of highest weight modules: applications to classical Hermitian symmetric pairs
- Filtrations on generalized Verma modules for Hermitian symmetric pairs.
- Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
- Towards the Kazhdan-Lusztig conjecture
