The inverse Kazhdan-Lusztig polynomial of a matroid

DOI10.1016/j.jctb.2021.07.004zbMath1473.05312arXiv2007.15349OpenAlexW3045710228MaRDI QIDQ1984526

Alice L. L. Gao, Matthew H. Y. Xie

Publication date: 16 September 2021

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15349

zbMATH Keywords

characteristic functionuniform matroidinverse Kazhdan-Lusztig polynomialKazhdan-Lusztig-Stanley functionmatroid Kazhdan-Lusztig polynomial

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

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 ⋮ Equivariant incidence algebras and equivariant Kazhdan-Lusztig-Stanley theory

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