The second lowest two-sided cell in an affine Weyl group.

DOI10.1016/j.jalgebra.2011.02.017zbMath1260.20061OpenAlexW2014217216MaRDI QIDQ651237

Jian-yi Shi

Publication date: 8 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.017

zbMATH Keywords

alcove formstwo-sided cellsirreducible affine Weyl groupsnumbers of left cellssign types

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

Some translations in the second lowest two-sided cell of an affine Weyl group ⋮ Some left cells in the affine Weyl group Ẽ₆ ⋮ The second lowest two-sided cell in the affine Weyl group \(\widetilde{B}_n\)

Cites Work

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• Cells in affine Weyl groups. II
• Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Canonical left cells in affine Weyl groups
• Hecke algebras and Jantzen's generic decomposition patterns
• Representations of Coxeter groups and Hecke algebras
• Left cells in the affine Weyl group of type \(\widetilde C_4\)
• 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 \(W_ a({\widetilde D}_ 4)\)
• Left cells in the affine Weyl group of type \(\widetilde F_4\)
• Sign types associated to posets
• The joint relations and the set \({\mathcal D}_ 1\) in certain crystallographic groups
• On two presentations of the affine Weyl groups of classical types
• The verification of a conjecture on left cells of certain Coxeter groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• A Two-Sided Cell in an Affine Weyl Group
• Cells for two coxeter groups
• A Two-Sided Cell in an Affine Weyl Group, II
• The decomposition into cells of the affine weyl group of type [Btilde₃]
• Cell decomposition in the affine weyl group w_A([Btilde₄)]
• Alcoves Corresponding to an Affine Weyl Group
• Sign Types Corresponding to an Affine Weyl Group

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