The equivariant Kazhdan-Lusztig polynomial of a matroid

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:150

Article

Gedeon, Katie¹  Proudfoot, Nicholas¹  Young, Benjamin¹ 

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

关键词: Kazhdan-Lusztig polynomials;    Matroids;    Equivariant matroids;    Representation theory;    Symmetric functions;    Log concavity;    Linear species;    Schubert calculus;    Representation stability;   

DOI  :  10.1016/j.jcta.2017.03.007

来源: Elsevier

【 摘 要 】

We define the equivariant-Kazhdan Lusztig polynomial of a matroid equipped with a group of symmetries, generalizing the nonequivariant case. We compute this invariant for arbitrary uniform matroids and for braid matroids of small rank. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free