The joint relations and the set \({\mathcal D}_ 1\) in certain crystallographic groups

DOI10.1016/0001-8708(90)90004-7zbMath0760.20009OpenAlexW2024552886MaRDI QIDQ1814062

Jian-yi Shi

Publication date: 25 June 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90004-7

zbMATH Keywords

representationsCoxeter groupHecke algebracrystallographic groupjoint relations

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)

Related Items (15)

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 \(\widetilde F_4\) ⋮ The distinguished involutions with \(a\)-value \(n^2-3n+3\) in the Weyl group of type \(D_n\). ⋮ 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 \(D_n\). ⋮ Joint relations on elements of the symmetric group. ⋮ THE LEFT CELLS OF THE AFFINE WEYL GROUP OF TYPE [Dtilde₅] ⋮ Fully commutative elements in the Weyl and affine Weyl groups. ⋮ Kazhdan-Lusztig coefficients for an affine Weyl group of type \(\widetilde B_2\). ⋮ The distinguished involutions of the weyl group of typeE₆ ⋮ Left cells in the affine Weyl group of type \(\widetilde C_4\) ⋮ Expression of certain Kazhdan-Lusztig basis elements \(C_w\) over the Hecke algebra of type \(A_n\). ⋮ Coxeter elements and Kazhdan-Lusztig cells

Cites Work

• Unnamed Item
• Cells in affine Weyl groups. II
• Representations of Coxeter groups and Hecke algebras
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups

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