A generalization of plactic-coplactic equivalences and Kazhdan-Lusztig cells.

DOI10.1016/j.jalgebra.2004.09.018zbMath1070.20047OpenAlexW2080614075MaRDI QIDQ1763746

Christophe Hohlweg

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.018

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig cellsplactic equivalence relations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (1)

Conjugacy classes of involutions and Kazhdan–Lusztig cells

Uses Software

• GAP
• CHEVIE

Cites Work

• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• CHEVIE -- A system for computing and processing generic character tables
• Longest Increasing and Decreasing Subsequences
• La correspondance de Robinson
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters
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