An Inversion Formula for -Relative Kazhdan–Lusztig Polynomials

DOI10.1080/00927870802623401zbMath1173.20003OpenAlexW1990758764MaRDI QIDQ3395627

Yunchuan Yin

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802623401

zbMATH Keywords

Hecke algebrasCoxeter groupsKazhdan-Lusztig polynomialsSolomon ideals

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

• On the existence of a W-graph for an irreducible representation of a Coxeter group
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Parabolic generalization of Kazhdan-Lusztig polynomials and bases
• An inversion formula for induced Kazhdan-Lusztig polynomials and duality of \(W\)-graphs.
• A decomposition of the group algebra of a finite Coxeter group
• An inversion formula for relative kazhdan—lusztig polynomials

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