Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces

DOI10.2307/2001170zbMath0669.17009OpenAlexW4253218211MaRDI QIDQ3822359

Brian D. Boe

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001170

zbMATH Keywords

characterrepresentationKazhdan-Lusztig polynomialsVerma moduleHermitian symmetric pairs

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)

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Cites Work

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• The n-homology of Harish-Chandra modules: Generalizing a theorem of Kostant
• The Kazhdan-Lusztig conjecture for generalized Verma modules
• Intertwining operators between holomorphically induced modules
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Determination of the intertwining operators for holomorphically induced representations of Hermitian symmetric pairs
• Representations of Coxeter groups and Hecke algebras
• Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
• Categories of highest weight modules: applications to classical Hermitian symmetric pairs
• Filtrations on generalized Verma modules for Hermitian symmetric pairs.