作者
Christopher Eur, Mario Sanchez, Mariel Supina
发表日期
2021/6
期刊
Bulletin of the London Mathematical Society
卷号
53
期号
3
页码范围
798-819
简介
Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect to subdivisions of a Coxeter matroid into smaller ones. We compute the universal valuative invariant of Coxeter matroids. A key ingredient is the family of Coxeter Schubert matroids, which correspond to the Bruhat cells of flag varieties. In the process, we compute the universal valuation of generalized Coxeter permutohedra, a larger family of polyhedra that model Coxeter analogues of combinatorial objects such as matroids, clusters, and posets.
引用总数
20212022202320245151
学术搜索中的文章
C Eur, M Sanchez, M Supina - Bulletin of the London Mathematical Society, 2021