Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs

DOI10.1090/S0002-9947-08-04458-9zbMath1167.05342OpenAlexW4239870089MaRDI QIDQ3623369

Francesco Brenti

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04458-9

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic combinatorics (05E99)

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Parabolic Kazhdan-Lusztig polynomials of type \(-1\) for quasi-minuscule quotients, Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients, The conformal characters, The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals, Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022, Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra., Parabolic Kazhdan-Lusztig \(R\)-polynomials for Hermitian symmetric pairs., Kazhdan-Lusztig polynomials of Boolean elements, A GRAPHICAL DESCRIPTION OF (D_n,A_n−1) KAZHDAN–LUSZTIG POLYNOMIALS, Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials., Enumerative properties of shifted-Dyck partitions, Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients

Cites Work

• The Kazhdan-Lusztig conjecture for generalized Verma modules
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• 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
• Parabolic Kazhdan-Lusztig \(R\)-polynomials for Hermitian symmetric pairs.
• Combinatorics of Coxeter Groups
• Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces
• Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula
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