Some properties of inverse weighted parabolic Kazhdan-Lusztig polynomials

DOI10.1006/jabr.2000.8674zbMath0999.20038OpenAlexW2073513194MaRDI QIDQ5942796

Hiroyuki Tagawa

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8674

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig polynomialscombinatorial formulaerecursion formulae

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• A construction of weighted parabolic Kazhdan-Lusztig polynomials.
• A combinatorial formula for Kazhdan-Lusztig polynomials
• \(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials
• Kazhdan-Lusztig polynomials of parabolic type
• Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
• An inversion formula for relative kazhdan—lusztig polynomials
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