Tight quotients and double quotients in the Bruhat order.

zbMath1067.20053MaRDI QIDQ1773149

John R. Stembridge

Publication date: 25 April 2005

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/124886

zbMATH Keywords

affine Weyl groupsCoxeter groupsroot systemsBruhat ordermaximal parabolic subgroupsreflection representationsorder dimensions

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

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Covering relations of k-Grassmannian permutations of type B ⋮ On parabolic Kazhdan-Lusztig \(R\)-polynomials for the symmetric group. ⋮ Asymptotic semigroups and two-sided weak orders ⋮ Oriented cohomology sheaves on double moment graphs ⋮ Parabolic Kazhdan-Lusztig \(R\)-polynomials for tight quotients of the symmetric groups. ⋮ Parabolic double cosets in Coxeter groups ⋮ Poincaré series of subsets of affine Weyl groups ⋮ Elliptic double affine Hecke algebras ⋮ Gromov-Witten invariants for $G/B$ and Pontryagin product for $ΩK$ ⋮ A two-sided analogue of the Coxeter complex ⋮ Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials. ⋮ An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy kernels for truncated staircases ⋮ Kazhdan-Lusztig polynomials, tight quotients and Dyck superpartitions. ⋮ The cross-section of a spherical double cone ⋮ Unnamed Item ⋮ Twisted quadratic foldings of root systems

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