Left cells in the affine Weyl group \(W_ a({\widetilde D}_ 4)\)

zbMath0816.20040MaRDI QIDQ1333605

Jian-yi Shi

Publication date: 17 July 1995

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1200785086

zbMATH Keywords

crystallographic groupaffine Weyl group of type \(\widetilde{D}_ 4\)representative set of left cells

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (12)

On generalized cells in affine Weyl groups ⋮ Some translations in the second lowest two-sided cell of an affine Weyl group ⋮ Some left cells in the affine Weyl group Ẽ₆ ⋮ Left cells in the affine Weyl group of type \(\widetilde F_4\) ⋮ The second lowest two-sided cell in the affine Weyl group \(\widetilde{B}_n\) ⋮ The second lowest two-sided cell in an affine Weyl group. ⋮ On the determination of Kazhdan-Lusztig cells for affine Weyl groups with unequal parameters. ⋮ Left-connectedness of some left cells in certain Coxeter groups of simply-laced type. ⋮ Generalized induction of Kazhdan-Lusztig cells. ⋮ Left cells in the affine Weyl group of type \(\widetilde C_4\) ⋮ Left cells in the Weyl group of type \(E_8\) ⋮ Coxeter elements and Kazhdan-Lusztig cells

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