Kazhdan-Lusztig polynomials of matroids under deletion

DOI10.37236/9026zbMath1431.05150arXiv1909.09888OpenAlexW3000896327MaRDI QIDQ2290343

Tom Braden, Artem Vysogorets

Publication date: 27 January 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09888

zbMATH Keywords

intersection cohomologygraphic matroidsKazhdan-Lusztig theoryOrlik-Terao algebra

Mathematics Subject Classification ID

Graph polynomials (05C31) 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)

Related Items (5)

A combinatorial formula for Kazhdan-Lusztig polynomials of sparse paving matroids ⋮ The Equivariant Inverse Kazhdan--Lusztig Polynomials of Uniform Matroids ⋮ Combinatorics and Hodge theory ⋮ A combinatorial formula for of \(\rho\)-removed uniform matroids ⋮ The inverse Kazhdan-Lusztig polynomial of a matroid

Uses Software

• OEIS

Cites Work

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• Representations of Coxeter groups and Hecke algebras
• The \(Z\)-polynomial of a matroid
• The algebraic geometry of Kazhdan-Lusztig-Stanley polynomials
• Kazhdan-Lusztig polynomials of fan matroids, wheel matroids, and whirl matroids
• The equivariant Kazhdan-Lusztig polynomial of a matroid
• Kazhdan-Lusztig polynomials of thagomizer matroids
• The Kazhdan-Lusztig polynomial of a matroid
• A Combinatorial Model for Series-Parallel Networks
• Intersection cohomology of the symmetric reciprocal plane

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