Two-sided cells in type \(B\) (asymptotic case).

DOI10.1016/j.jalgebra.2006.05.035zbMath1150.20004arXivmath/0502086OpenAlexW2075876578MaRDI QIDQ853911

Cédric Bonnafé

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0502086

zbMATH Keywords

Hecke algebrasKazhdan-Lusztig basesWeyl groupsRobinson-Schensted correspondencetwo-sided cellsLusztig conjecturesleft cell representationsunequal parameters

Mathematics Subject Classification ID

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

Related Items (17)

Cellular structures on Hecke algebras of type \(B\). ⋮ Conjugacy classes of involutions and Kazhdan–Lusztig cells ⋮ Ordering Lusztig's families in type \(B_n\). ⋮ Cell structures on the blob algebra ⋮ Erratum to: ``On Kazhdan-Lusztig cells in type \(B\) ⋮ Conjectures P1--P15 for Coxeter groups with complete graph ⋮ Constructible representations and basic sets in type \(B\). ⋮ On Domino Insertion and Kazhdan–Lusztig Cells in Type B n ⋮ The based ring of the lowest generalized two-sided cell of an extended affine Weyl group ⋮ Specht modules and Kazhdan-Lusztig cells in type \(B_n\). ⋮ On Kazhdan-Lusztig cells in type \(B\). ⋮ Vogan classes in type \(B_n\) ⋮ Relative Kazhdan–Lusztig cells ⋮ Kazhdan-Lusztig basis, Wedderburn decomposition, and Lusztig's homomorphism for Iwahori-Hecke algebras. ⋮ \(W\)-graph ideals and duality ⋮ Hecke algebras with unequal parameters and Vogan’s left cell invariants ⋮ \(W\)-graphs for Hecke algebras with unequal parameters.

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