\(W\)-graph ideals and duality

DOI10.1016/j.jalgebra.2015.12.021zbMath1383.20008OpenAlexW2288660576MaRDI QIDQ5965122

Yunchuan Yin

Publication date: 2 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.12.021

zbMATH Keywords

Coxeter groupHecke algebraKazhdan-Lusztig polynomial\(W\)-graphKazhdan-Lusztig basis

Mathematics Subject Classification ID

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

Uses Software

• PyCox

Cites Work

• Unnamed Item
• Representations of Hecke algebras at roots of unity.
• Two-sided cells in type \(B\) (asymptotic case).
• 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 generalization of Kazhdan-Lusztig polynomials and bases
• The Laurent polynomials \(M^s_{y,w}\) in the Hecke algebra with unequal parameters.
• \(W\)-graph ideals.
• \(W\)-graphs for Hecke algebras with unequal parameters.
• A decomposition of the group algebra of a finite Coxeter group
• An inversion formula for relative kazhdan—lusztig polynomials
• Hecke Algebras with Unequal Parameters
• PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras

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