Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients

DOI10.1016/j.jalgebra.2016.01.017zbMath1380.20004OpenAlexW2300646522MaRDI QIDQ5964516

Paolo Sentinelli, Pietro Mongelli, Francesco Brenti

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.01.017

zbMATH Keywords

combinatoricsWeyl groupKazhdan-Lusztig \(R\)-polynomialKazhdan-Lusztig polynomialquasi-minuscule quotient

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

AN IDENTITY OF PARABOLIC KAZHDAN–LUSZTIG POLYNOMIALS ARISING FROM SQUARE-IRREDUCIBLE MODULES ⋮ Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients

Cites Work

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• Differentiating the Weyl generic dimension formula with applications to support varieties
• Deformed Kazhdan-Lusztig elements and Macdonald polynomials
• Parabolic Kazhdan-Lusztig and \(R\)-polynomials for Boolean elements in the symmetric group.
• 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
• Kazhdan-Lusztig polynomials and canonical basis
• 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
• On the quantum cohomology of adjoint varieties
• Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs
• A combinatorial formula for Macdonald polynomials
• First extension groups of Verma modules and $R$-polynomials
• Quasi-minuscule quotients and reduced words for reflections
• Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients

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