Parabolic Kazhdan-Lusztig \(R\)-polynomials for Hermitian symmetric pairs.

DOI10.1016/j.jalgebra.2007.08.001zbMath1170.05058OpenAlexW2000127891MaRDI QIDQ2468539

Francesco Brenti

Publication date: 24 January 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.08.001

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig theoryHermitian symmetric pairs

Mathematics Subject Classification ID

Related Items (2)

Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients ⋮ Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs

Cites Work

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• The Kazhdan-Lusztig conjecture for generalized Verma modules
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• Representations of Coxeter groups and Hecke algebras
• Duality in parabolic set up for questions in Kazhdan-Lusztig theory
• Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
• A combinatorial formula for the character of the diagonal coinvariants
• Kazhdan-Lusztig and \(R\)-polynomials, Young's lattice, and Dyck partitions.
• On the decomposition matrices of the quantized Schur algebra
• Combinatorics of Coxeter Groups
• Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs
• Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces
• A combinatorial formula for Macdonald polynomials

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