The Kazhdan-Lusztig polynomials of uniform matroids

DOI10.1016/j.aam.2020.102117zbMath1457.05019arXiv1806.10852OpenAlexW3089951522MaRDI QIDQ2221780

Yanyan Li

Publication date: 2 February 2021

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

Full work available at URL: https://arxiv.org/abs/1806.10852

zbMATH Keywords

Kazhdan-Lusztig polynomialZeilberger's algorithmuniform matroidreal-rootedness\(Z\)-polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35) Real polynomials: location of zeros (26C10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (7)

A combinatorial formula for Kazhdan-Lusztig polynomials of sparse paving matroids ⋮ The Equivariant Inverse Kazhdan--Lusztig Polynomials of Uniform Matroids ⋮ Matroid relaxations and Kazhdan-Lusztig non-degeneracy ⋮ Equivariant Kazhdan-Lusztig theory of paving matroids ⋮ The log-concavity of Kazhdan-Lusztig polynomials of uniform matroids ⋮ The inverse Kazhdan-Lusztig polynomial of a matroid ⋮ Equivariant Kazhdan-Lusztig polynomials of \(q\)-niform matroids

Cites Work

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• Intersections of Real Closed Fields
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