Parabolic generalization of Kazhdan-Lusztig polynomials and bases

DOI10.1006/jabr.1998.7645zbMath0981.20031OpenAlexW2049016971MaRDI QIDQ1283658

Michèle Couillens

Publication date: 19 June 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7645

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig basesCoxeter systemsKazhdan-Lusztig polynomials

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (8)

\(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials ⋮ ON CANONICAL BASES AND INDUCTION OF -GRAPHS ⋮ Inducing \(W\)-graphs. II. ⋮ Bar operators for quasiparabolic conjugacy classes in a Coxeter group. ⋮ \(W\)-graph ideals and duality ⋮ IrreducibleW-Graphs for TypeD₄andD₅ ⋮ An Inversion Formula for -Relative Kazhdan–Lusztig Polynomials ⋮ Parabolic generalization of Kazhdan-Lusztig polynomials and bases

Cites Work

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• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• 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
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Parabolic generalization of Kazhdan-Lusztig polynomials and bases
• Characters of Reductive Groups over a Finite Field. (AM-107)
• A splitting criterion for the bruhat orderings on coxeter groups
• A Further Refinement of the Bruhat Decomposition
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• Koszul Duality Patterns in Representation Theory

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