Hecke algebras with unequal parameters and Vogan’s left cell invariants

DOI10.1007/978-3-319-23443-4_6zbMath1343.20004arXiv1502.01661OpenAlexW327194283MaRDI QIDQ2813591

Cédric Bonnafé, Meinolf Geck

Publication date: 24 June 2016

Published in: Representations of Reductive Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01661

zbMATH Keywords

Hecke algebrasCoxeter groupsKazhdan-Lusztig cellsinvariants of left cells

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

Decomposition for Kazhdan-Lusztig basis elements of the affine Hecke algebra of type \(\tilde{A}_{n - 1}\) ⋮ The ABC of \(p\)-cells ⋮ Vogan classes in type \(B_n\)

Uses Software

• PyCox

Cites Work

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• The Hodge theory of Soergel bimodules.
• Ordering of the primitive spectrum of a semisimple Lie algebra
• Two-sided cells in type \(B\) (asymptotic case).
• Primitive ideals and orbital integrals in complex exceptional groups
• Representations of Coxeter groups and Hecke algebras
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• Left cells in affine Weyl groups
• The Laurent polynomials \(M^s_{y,w}\) in the Hecke algebra with unequal parameters.
• On Kazhdan-Lusztig cells in type \(B\).
• Semicontinuity properties of Kazhdan-Lusztig cells
• On the lowest two-sided cell in affine Weyl groups
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Left cells in type 𝐵_{𝑛} with unequal parameters
• Relative Kazhdan–Lusztig cells
• On the Kazhdan–Lusztig cells in type $E_8$

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