The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)

DOI10.1006/JABR.1994.1038zbMath0799.20039OpenAlexW2047770080MaRDI QIDQ1320147

Chen Chengdong

Publication date: 21 November 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1038

zbMATH Keywords

involutionsCoxeter grouprepresentation theoryHecke algebraleft cellstwo-sided cellsaffine Weyl group of type \(\widetilde{D}_ 4\)

Mathematics Subject Classification ID

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

Related Items (17)

Left cells in affine Weyl groups ⋮ On generalized cells in affine Weyl groups ⋮ Some left cells in the affine Weyl group Ẽ₆ ⋮ Left cells witha-value 4 in the affine weyl group of type[btilde_n] ⋮ The distinguished involutions with \(a\)-value \(n^2-3n+3\) in the Weyl group of type \(D_n\). ⋮ 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. ⋮ On certain distinguished involutions in the Weyl group of type \(D_n\). ⋮ 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] ⋮ The distinguished involutions of the weyl group of typeE₆ ⋮ Automata and cells in affine Weyl groups ⋮ Generalized induction of Kazhdan-Lusztig cells. ⋮ On Certain Distinguished Involutions in the Weyl Group of Type B_n ⋮ Generalized negligible morphisms and their tensor ideals ⋮ Cartan matrix over the 0-Hecke algebra of type \(F_4\).

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