Twisted incidence algebras and Kazhdan-Lusztig-Stanley functions

DOI10.1006/aima.1999.1839zbMath0954.16022OpenAlexW2000556007MaRDI QIDQ1969014

Francesco Brenti

Publication date: 11 February 2001

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

Full work available at URL: https://doi.org/10.1006/aima.1999.1839

zbMATH Keywords

Eulerian posetsKazhdan-Lusztig polynomialsincidence algebraslocally finite posetstoric \(h\)-vectorsKazhdan-Lusztig-Stanley functionsLusztig-Vogan polynomials

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Algebraic combinatorics (05E99) Associative rings and algebras arising under various constructions (16S99)

Related Items (15)

A combinatorial formula for Kazhdan-Lusztig polynomials of sparse paving matroids ⋮ The Equivariant Inverse Kazhdan--Lusztig Polynomials of Uniform Matroids ⋮ Kazhdan-Lusztig polynomials of fan matroids, wheel matroids, and whirl matroids ⋮ Matroid relaxations and Kazhdan-Lusztig non-degeneracy ⋮ Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory ⋮ Parabolic Temperley-Lieb modules and polynomials ⋮ Equivariant incidence algebras and equivariant Kazhdan-Lusztig-Stanley theory ⋮ The inverse Kazhdan-Lusztig polynomial of a matroid ⋮ A twisted duality for parabolic Kazhdan-Lusztig \(R\)-polynomials ⋮ The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials ⋮ Comparing and characterizing some constructions of canonical bases from Coxeter systems ⋮ An upper bound theorem for rational polytopes ⋮ The toric ℎ-vectors of partially ordered sets ⋮ Complements of Coxeter group quotients. ⋮ \(P\)-kernels, IC bases and Kazhdan-Lusztig polynomials

Cites Work

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• Singularities of closures of K-orbits on flag manifolds
• On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
• Representations of Coxeter groups and Hecke algebras
• Duality in parabolic set up for questions in Kazhdan-Lusztig theory
• A combinatorial formula for Kazhdan-Lusztig polynomials
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Subdivisions and Local h-Vectors
• Combinatorial Expansions of Kazhdan-Lusztig Polynomials

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