Vogan classes in type \(B_n\)

DOI10.5802/alco.74zbMath1428.05324arXiv1709.02061OpenAlexW2993795183MaRDI QIDQ2278582

Edmund Howse

Publication date: 5 December 2019

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02061

zbMATH Keywords

Coxeter groupsKazhdan-Lusztig cellsIwahori-Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Uses Software

• PyCox

Cites Work

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• Computing Kazhdan-Lusztig cells for unequal parameters.
• Knuth relations for the hyperoctahedral groups
• Two-sided cells in type \(B\) (asymptotic case).
• Representations of Coxeter groups and Hecke algebras
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• Erratum to: ``On Kazhdan-Lusztig cells in type \(B\)
• On Kazhdan-Lusztig cells in type \(B\).
• Hecke algebras with unequal parameters and Vogan’s left cell invariants
• On Domino Insertion and Kazhdan–Lusztig Cells in Type B n
• Semicontinuity properties of Kazhdan-Lusztig cells
• Longest Increasing and Decreasing Subsequences
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters
• Left cells in type 𝐵_{𝑛} with unequal parameters
• PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras
• Relative Kazhdan–Lusztig cells

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