On generalized cells in affine Weyl groups

DOI10.1006/jabr.1996.6889zbMath0942.20019OpenAlexW2004468766MaRDI QIDQ1357555

Kirsten Bremke

Publication date: 29 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6889

zbMATH Keywords

affine Weyl groupsCoxeter systemsfinite Weyl groupssimple reflectionsgeneralized cells

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15)

Related Items (10)

Admissible subsets and Littelmann paths in affine Kazhdan-Lusztig theory ⋮ Cellularity of the lowest two-sided ideal of an affine Hecke algebra. ⋮ Conjectures P1--P15 for Coxeter groups with complete graph ⋮ The cells of the affine Weyl group \(\widetilde C_n\) in a certain quasi-split case. ⋮ On the determination of Kazhdan-Lusztig cells for affine Weyl groups with unequal parameters. ⋮ The based ring of the lowest generalized two-sided cell of an extended affine Weyl group ⋮ Unnamed Item ⋮ On the lowest two-sided cell in affine Weyl groups ⋮ Generalized induction of Kazhdan-Lusztig cells. ⋮ Left Cells of the Weighted Coxeter Group

Cites Work

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• Cells in affine Weyl groups. II
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Hecke algebras and Jantzen's generic decomposition patterns
• Representations of Coxeter groups and Hecke algebras
• The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)
• Left cells in affine Weyl groups
• Left cells in the affine Weyl group \(W_ a({\widetilde D}_ 4)\)
• Representations of affine Hecke algebras
• Affine Hecke Algebras and Their Graded Version
• Cells for two coxeter groups
• A Two-Sided Cell in an Affine Weyl Group, II
• The lowest two-sided cell for an affine weyl group
• The decomposition into cells of the affine weyl group of type [Btilde₃]

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