Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids

DOI10.1090/proc/14608zbMath1421.05028arXiv1902.01241OpenAlexW2914304645MaRDI QIDQ5234964

Philip B. Zhang, Matthew H. Y. Xie

Publication date: 7 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01241

zbMATH Keywords

plethysmPieri ruleuniform matroidequivariant Kazhdan-Lusztig polynomialthagomizer matroid

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

A combinatorial formula for Kazhdan-Lusztig polynomials of sparse paving matroids ⋮ The Equivariant Inverse Kazhdan--Lusztig Polynomials of Uniform Matroids ⋮ The log-concavity of Kazhdan-Lusztig polynomials of thagomizer matroids

Cites Work

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• Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures
• Equivariant Kazhdan-Lusztig polynomials of \(q\)-niform matroids
• The equivariant Kazhdan-Lusztig polynomial of a matroid
• Kazhdan-Lusztig polynomials of thagomizer matroids
• The Kazhdan-Lusztig polynomial of a matroid
• Intersection cohomology of the symmetric reciprocal plane

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