Matroid relaxations and Kazhdan-Lusztig non-degeneracy

DOI10.5802/alco.244zbMath1497.05026arXiv2104.14531OpenAlexW3158378754MaRDI QIDQ2674554

Lorenzo Vecchi, Luis Ferroni

Publication date: 14 September 2022

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14531

zbMATH Keywords

real-rooted polynomialsgeometric latticescircuit-hyperplane relaxationsKazhdan-Lusztig polynomials of matroids

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) Combinatorial aspects of matroids and geometric lattices (05B35) Special sequences and polynomials (11B83)

Related Items (1)

Equivariant Kazhdan-Lusztig theory of paving matroids

Uses Software

• SageMath
• OEIS

Cites Work

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• Hypersimplices are Ehrhart positive
• On the asymptotic proportion of connected matroids
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• The Kazhdan-Lusztig polynomial of a matroid
• Valuations for Matroid Polytope Subdivisions
• Subdivisions and Local h-Vectors
• Almost all matroids are nonrepresentable
• Valuations and the Hopf Monoid of Generalized Permutahedra
• Intersection cohomology of the symmetric reciprocal plane

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