Deformations of permutation representations of Coxeter groups.

DOI10.1007/s10801-012-0371-3zbMath1277.20042arXiv1008.1037OpenAlexW2131742040MaRDI QIDQ1947192

Eric M. Rains, Monica Vazirani

Publication date: 12 April 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1037

zbMATH Keywords

Hecke algebrasparabolic subgroupsCoxeter groupsdeformationsBruhat orderpermutation representationsquasiparabolic sets

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Topology of posets with special partial matchings, Involution words. II: Braid relations and atomic structures, Gelfand \(W\)-graphs for classical Weyl groups, Involution words: counting problems and connections to Schubert calculus for symmetric orbit closures, Omitting parentheses from the cyclic notation, Perfect models and Gelfand W-graphs, Perfect models for finite Coxeter groups, The absolute order of a permutation representation of a Coxeter group, On maximal chains in the non-crossing partition lattice, Quasiparabolic sets and Stanley symmetric functions for affine fixed-point-free involutions, Transition formulas for involution Schubert polynomials, Bar operators for quasiparabolic conjugacy classes in a Coxeter group., Gröbner geometry for skew-symmetric matrix Schubert varieties, Involution pipe dreams, A symplectic refinement of shifted Hecke insertion, Topology of posets with special partial matchings, Bumping operators and insertion algorithms for queer supercrystals, \(K\)-theory formulas for orthogonal and symplectic orbit closures, Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Cites Work

• Unnamed Item
• Singularities of closures of K-orbits on flag manifolds
• The Bruhat order on symmetric varieties
• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• Bruhat order of Coxeter groups and shellability
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Algebraic aspects of increasing subsequences
• Vanishing integrals of Macdonald and Koornwinder polynomials
• Special matchings and Kazhdan-Lusztig polynomials
• Möbius inversion in lattices
• BC\(_n\)-symmetric polynomials
• Hecke algebras and involutions in Coxeter groups
• Combinatorics of Coxeter Groups
• Hecke algebras and involutions in Weyl groups
• Möbius inversion for the Bruhat ordering on a Weyl group