\(W\)-graphs for Hecke algebras with unequal parameters.

DOI10.1007/s00229-014-0719-1zbMath1316.20003arXiv1503.09081OpenAlexW2084553785MaRDI QIDQ2345906

Yunchuan Yin

Publication date: 21 May 2015

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09081

zbMATH Keywords

Hecke algebras\(W\)-graphsweighted Coxeter groups\(W\)-graph ideals

Mathematics Subject Classification ID

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

Related Items (1)

\(W\)-graph ideals and duality

Uses Software

• PyCox

Cites Work

• Unnamed Item
• Representations of Hecke algebras at roots of unity.
• On the existence of a W-graph for an irreducible representation of a Coxeter group
• 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
• The Laurent polynomials \(M^s_{y,w}\) in the Hecke algebra with unequal parameters.
• \(W\)-graph ideals.
• Specht modules and Kazhdan-Lusztig cells in type \(B_n\).
• A decomposition of the group algebra of a finite Coxeter group
• KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters
• Left cells in type 𝐵_{𝑛} with unequal parameters
• Hecke Algebras of Type B_n at Roots of Unity
• PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras

This page was built for publication: \(W\)-graphs for Hecke algebras with unequal parameters.