Relative Kazhdan–Lusztig cells

DOI10.1090/S1088-4165-06-00287-1zbMath1139.20003arXivmath/0504216MaRDI QIDQ5445072

Meinolf Geck

Publication date: 28 February 2008

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504216

zbMATH Keywords

Kazhdan-Lusztig basesWeyl groupsCoxeter groupsKazhdan-Lusztig cellscellular basesmulti-parameter Iwahori-Hecke algebras

Mathematics Subject Classification ID

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

Related Items

Hecke algebras of finite type are cellular., Two-sided cells in type \(B\) (asymptotic case)., Canonical basic sets in type \(B_n\)., \(W\)-graph versions of tensoring with the \(\mathcal S_n\) defining representation., Conjectures P1--P15 for Coxeter groups with complete graph, Constructible representations and basic sets in type \(B\)., Bitableaux and zero sets of dual canonical basis elements, Decomposition for Kazhdan-Lusztig basis elements of the affine Hecke algebra of type \(\tilde{A}_{n - 1}\), On Domino Insertion and Kazhdan–Lusztig Cells in Type B n, Specht modules and Kazhdan-Lusztig cells in type \(B_n\)., PyCox: computing with (finite) Coxeter groups and Iwahori–Hecke algebras, Module structure of cells in unequal-parameter Hecke algebras, Vogan classes in type \(B_n\), Hecke algebras with unequal parameters and Vogan’s left cell invariants, On the Kazhdan–Lusztig cells in type $E_8$, Quiver mutations and Boolean reflection monoids

Cites Work

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• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
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• Left cells in type 𝐵_{𝑛} with unequal parameters
• Hecke Algebras of Type B_n at Roots of Unity
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