An abstract model for Bruhat intervals

DOI10.1006/eujc.1999.0343zbMath0953.05083OpenAlexW1971763813MaRDI QIDQ1971802

Fokko du Cloux

Publication date: 23 January 2001

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

Full work available at URL: https://semanticscholar.org/paper/ad5a59fe7085e5d1b1e5bfbe4a2a57bc4c0b0804

zbMATH Keywords

Coxeter groupshellabilityKazhdan-Lusztig polynomialEulerian posetBruhat ordering

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic aspects of posets (06A11) Shellability for polytopes and polyhedra (52B22)

Related Items

Topology of posets with special partial matchings, The intersection cohomology of Schubert varieties is a combinatorial invariant, The size of Bruhat intervals between nested involutions in \(S_{n}\), Two-sided cells in type \(B\) (asymptotic case)., Special matchings and permutations in Bruhat orders., The generalized lifting property of Bruhat intervals, Completely compressible Bruhat intervals and Kazhdan-Lusztig polynomials, Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity., Rigidity of Schubert closures and invariance of Kazhdan-Lusztig polynomials., Algebraic and combinatorial properties of zircons, Fixed points of zircon automorphisms, Special matchings and Kazhdan-Lusztig polynomials, Special matchings in Coxeter groups, Generalized induction of Kazhdan-Lusztig cells., Pattern avoidance and Boolean elements in the Bruhat order on involutions, Computing Kazhdan-Lusztig Polynomials for Arbitrary Coxeter Groups, Topology of posets with special partial matchings, The combinatorics of twisted involutions in Coxeter groups

Cites Work

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• Bruhat order of Coxeter groups and shellability
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• A combinatorial formula for Kazhdan-Lusztig polynomials
• Möbius inversion for the Bruhat ordering on a Weyl group