Determination of the intertwining operators for holomorphically induced representations of Hermitian symmetric pairs

DOI10.2140/PJM.1988.131.39zbMath0664.22009OpenAlexW2002824196MaRDI QIDQ1115541

Thomas J. Enright, Brian D. Boe, Brad Shelton

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.39

zbMATH Keywords

Cartan subalgebra Verma module highest weights complexified Lie algebra coset representations irreducible Hermitian symmetric pair positive \({\mathfrak h}\)-roots

Mathematics Subject Classification ID

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

Related Items (10)

The Kazhdan-Lusztig conjecture for generalized Verma modules ⋮ Quantization and injective submodules of differential operator modules ⋮ The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras ⋮ Closed product formulas for extensions of generalized Verma modules ⋮ Covariant differential operators ⋮ Extensions between generalized Verma modules: The Hermitian symmetric cases ⋮ Representation type of the blocks of category \(\mathcal O_s\) ⋮ Leading weight vectors and homomorphisms between generalized Verma modules ⋮ Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces ⋮ Intertwining differential operators and reducibility of generalized Verma modules

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