Specht modules and Kazhdan-Lusztig cells in type \(B_n\).

DOI10.1016/j.jpaa.2007.10.005zbMath1182.20005arXiv0704.1846OpenAlexW2964087446MaRDI QIDQ2477636

Meinolf Geck, Lacrimioara Iancu, C. A. Pallikaros

Publication date: 14 March 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1846

zbMATH Keywords

Hecke algebrasSpecht modulesmonomial ordersKazhdan-Lusztig cell modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08)

Related Items (6)

Cellular structures on Hecke algebras of type \(B\). ⋮ Hecke algebras of finite type are cellular. ⋮ The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ On Domino Insertion and Kazhdan–Lusztig Cells in Type B n ⋮ Decomposable Specht modules indexed by bihooks ⋮ \(W\)-graphs for Hecke algebras with unequal parameters.

Cites Work

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• Two-sided cells in type \(B\) (asymptotic case).
• Canonical basic sets in type \(B_n\).
• Cellular algebras
• Hecke algebras of finite type are cellular.
• On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras.
• Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B n
• Representations of Hecke Algebras of General Linear Groups
• 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
• Lusztig’sa-Function in TypeB_nin the Asymptotic Case
• Relative Kazhdan–Lusztig cells

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