Left cells in affine Weyl groups

DOI10.2748/TMJ/1178225804zbMath0798.20040OpenAlexW1985802764MaRDI QIDQ1326964

Jian-yi Shi

Publication date: 9 November 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225804

zbMATH Keywords

algorithmscrystallographic groupsKazhdan-Lusztig cellsleft cellstwo-sided cellsaffine Weyl group of type \(\widetilde F_4\)

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Other geometric groups, including crystallographic groups (20H15)

Related Items (18)

Left cells in affine Weyl groups ⋮ Left cells containing a fully commutative element. ⋮ On generalized cells in affine Weyl groups ⋮ Some left cells in the affine Weyl group Ẽ₆ ⋮ Left cells in the affine Weyl group of type \(\widetilde F_4\) ⋮ Left Cells witha-Value 4 in the Affine Weyl Groups (i = 6, 7, 8) ⋮ The second lowest two-sided cell in an affine Weyl group. ⋮ The ABC of \(p\)-cells ⋮ On the determination of Kazhdan-Lusztig cells for affine Weyl groups with unequal parameters. ⋮ THE LEFT CELLS OF THE AFFINE WEYL GROUP OF TYPE [Dtilde₅] ⋮ Fully commutative elements and Kazhdan-Lusztig cells in the finite and affine Coxeter groups, II ⋮ Generalized induction of Kazhdan-Lusztig cells. ⋮ Hecke algebras with unequal parameters and Vogan’s left cell invariants ⋮ Left cells in the affine Weyl group of type \(\widetilde C_4\) ⋮ Left cells in the weyl group of type₇ ⋮ Left Cells of the Weighted Coxeter Group ⋮ Left cells in the Weyl group of type \(E_8\) ⋮ Affine Hecke algebras and generalized standard Young tableaux.

Cites Work

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• Cells in affine Weyl groups. II
• Cells in the affine Weyl group of type \(\tilde D_ 4\)
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• A generalized \(\tau\)-invariant for the primitive spectrum of a semisimple Lie algebra
• The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)
• Left cells in affine Weyl groups
• The verification of a conjecture on left cells of certain Coxeter groups
• Left cells in affine Weyl groups of types other than \(\widetilde A_ n\) and \(\widetilde G_ 2\)
• 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

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