The equivariant Kazhdan-Lusztig polynomial of a matroid

DOI10.1016/j.jcta.2017.03.007zbMath1362.05131arXiv1605.01777OpenAlexW2964143085MaRDI QIDQ2397110

Katie Gedeon, Benjamin J. Young, Nicholas J. Proudfoot

Publication date: 29 May 2017

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

Full work available at URL: https://arxiv.org/abs/1605.01777

zbMATH Keywords

Schubert calculusrepresentation theorymatroidssymmetric functionsKazhdan-Lusztig polynomialsrepresentation stabilitylinear specieslog concavityequivariant matroids

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) Combinatorial aspects of representation theory (05E10) Combinatorial aspects of matroids and geometric lattices (05B35) Classical problems, Schubert calculus (14N15)

Related Items (19)

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Uses Software

• SageMath

Cites Work

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• Cohomology of the brieskorn-orlik-solomon algebras
• Intersection cohomology of the symmetric reciprocal plane

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