Left cells in the affine Weyl group of type \(\widetilde C_4\)

DOI10.1006/jabr.1997.7282zbMath0912.20039OpenAlexW2082547848MaRDI QIDQ1265521

Jian-yi Shi

Publication date: 9 March 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7282

zbMATH Keywords

algorithmsaffine Weyl groupsleft cells\(\tau\)-invariantsleft cell graphs

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (12)

Some translations in the second lowest two-sided cell of an affine Weyl group ⋮ The relation \(\mathop{\leqslant}\limits_{\mathrm{LR}}\) on some elements of the affine Weyl group \(\tilde{C}_n\) ⋮ Some left cells in the affine Weyl group Ẽ₆ ⋮ Left cells witha-value 4 in the affine weyl group of type[btilde_n] ⋮ Left cells in the affine Weyl group of type \(\widetilde F_4\) ⋮ Kazhdan-Lusztig cells of \(\mathbf{a} \)-value 2 in \(\mathbf{a}(2)\)-finite Coxeter systems ⋮ The second lowest two-sided cell in the affine Weyl group \(\widetilde{B}_n\) ⋮ 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 LEFT CELLS OF THE AFFINE WEYL GROUP OF TYPE [Dtilde₅] ⋮ Left cells in the Weyl group of type \(E_8\) ⋮ Coxeter elements and Kazhdan-Lusztig cells

Cites Work

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• Cells in affine Weyl groups. II
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Canonical left cells in affine Weyl groups
• Representations of Coxeter groups and Hecke algebras
• 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 \(\widetilde F_4\)
• The joint relations and the set \({\mathcal D}_ 1\) in certain crystallographic groups
• Left cells in affine Weyl groups of types other than \(\widetilde A_ n\) and \(\widetilde G_ 2\)
• The partial order on two-sided cells of certain affine Weyl 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]
• Left cells in the weyl group of type₇
• Cell decomposition in the affine weyl group w_A([Btilde₄)]
• Alcoves Corresponding to an Affine Weyl Group
• Left cells witha-value 4 in the affine weyl group of type[btilde_n]
• Left Cells with a -Value 4 in the Affine Weyl Group of Type C∼n
• Left cells in weyl group of type E₆

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