On the lowest two-sided cell in affine Weyl groups

DOI10.1090/S1088-4165-08-00334-8zbMath1161.20035arXivmath/0703764OpenAlexW2056924075MaRDI QIDQ3614516

Jérémie Guilhot

Publication date: 9 March 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703764

zbMATH Keywords

affine Weyl groupsCoxeter groupsKazhdan-Lusztig polynomialsKazhdan-Lusztig cellsnumbers of left cells

Mathematics Subject Classification ID

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

Related Items (7)

Admissible subsets and Littelmann paths in affine Kazhdan-Lusztig theory ⋮ Conjugacy classes of involutions and Kazhdan–Lusztig cells ⋮ Cellularity of the lowest two-sided ideal of an affine Hecke algebra. ⋮ Conjectures P1--P15 for Coxeter groups with complete graph ⋮ The based ring of the lowest generalized two-sided cell of an extended affine Weyl group ⋮ Generalized induction of Kazhdan-Lusztig cells. ⋮ Hecke algebras with unequal parameters and Vogan’s left cell invariants

Cites Work

• Unnamed Item
• Hecke algebras and Jantzen's generic decomposition patterns
• On generalized cells in affine Weyl groups
• A Two-Sided Cell in an Affine Weyl Group
• A Two-Sided Cell in an Affine Weyl Group, II
• The lowest two-sided cell for an affine weyl group
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters

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