On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras
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Publication:2175030
DOI10.1215/21562261-2019-0027zbMath1503.17016OpenAlexW2975349237MaRDI QIDQ2175030
Haian He, Toshihisa Kubo, Roger Zierau
Publication date: 27 April 2020
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.kjm/1569376962
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)
Related Items (4)
Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras ⋮ Reducibility of generalized Verma modules for Hermitian symmetric pairs ⋮ Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules ⋮ Jantzen coefficients and simplicity of parabolic Verma modules
Cites Work
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- On the reducibility of scalar generalized Verma modules of abelian type
- On the unitarizability of derived functor modules
- Conformally invariant systems of differential operators
- Hermitian symmetric spaces and their unitary highest weight modules
- Highest weight modules associated with classical irreducible regular prehomogeneous vector spaces of commutative parabolic type
- Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- Contravariant forms on generalized Verma modules and \(b\)-functions
- Highest weight modules and \(b\)-functions of semi-invariants
- Analysis and geometry on complex homogeneous domains
- Unitarizability of certain series of representations
- 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 \(b\)-functions for prehomogeneous vector spaces of commutative parabolic type and universal generalized Verma modules
- Continuation of unitary derived functor modules out of the canonical chamber
- The Analytic Continuation of the Discrete Series.I
- On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras
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