Bruhat order on the involutions of classical Weyl groups.

DOI10.1016/j.aam.2005.11.002zbMath1110.06007OpenAlexW2067681729MaRDI QIDQ864870

Federico Incitti

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.aam.2005.11.002

zbMATH Keywords

Weyl groupsCoxeter groupsinvolutionsrank functionsshellabilityBruhat orders

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Shellability for polytopes and polyhedra (52B22)

Related Items

Topology of posets with special partial matchings ⋮ On some actions of the 0-Hecke monoids of affine symmetric groups ⋮ Variations of the Poincaré series for affine Weyl groups and \(q\)-analogues of Chebyshev polynomials ⋮ Involution words. II: Braid relations and atomic structures ⋮ Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures ⋮ Torus quotient of Richardson varieties in orthogonal and symplectic grassmannians ⋮ Bruhat order on partial fixed point free involutions. ⋮ Pattern avoidance and Boolean elements in the Bruhat order on involutions ⋮ Comparing and characterizing some constructions of canonical bases from Coxeter systems ⋮ Topology of posets with special partial matchings

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