一个非交换几何LR规则

IF 0.7 4区数学 Discrete Mathematics and Theoretical Computer Science Pub Date : 2020-04-22 DOI:10.46298/dmtcs.6367

Stephanie van Willigenburg, V. Tewari, Edward Richmond

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引用次数: 1

摘要

几何Littlewood-Richardson（LR）规则是一种用于计算LR系数的组合算法，该算法是通过将Grassmannian中的Richardson变种退化为舒伯特变种的并集而导出的。这种规则最初由瓦基尔提出，后来由科斯昆推广。本文给出了几何LR规则的一个非交换形式。因此，我们在某些情况下建立了非对易LR系数正性的几何解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A noncommutative geometric LR rule

The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian. Such rules were first given by Vakil and later generalized by Coskun. In this paper we give a noncommutative version of the geometric LR rule. As a consequence, we establish a geometric explanation for the positivity of noncommutative LR coefficients in certain cases.

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来源期刊

Discrete Mathematics and Theoretical Computer Science 数学-计算机：软件工程

自引率

14.30%

发文量

期刊介绍： DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network. Sections of DMTCS Analysis of Algorithms Automata, Logic and Semantics Combinatorics Discrete Algorithms Distributed Computing and Networking Graph Theory.

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