生成分区的线性类别

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2019-03-30 DOI:10.1215/21562261-2022-0028

Daniel Gromada, Moritz Weber

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引用次数: 6

摘要

提出了一种近似划分(集合)线性类别的算法。我们报告了基于该算法的具体计算机实验，以及我们如何用它找到紧矩阵量子群(所谓的“非易”量子群)的新例子。这也导致了关于这种量子群的表示理论的进一步的理论见解。我们解释了构造量子群的反交换扭曲的一些新范畴。

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Generating linear categories of partitions

We present an algorithm for approximating linear categories of partitions (of sets). We report on concrete computer experiments based on this algorithm and how we found new examples of compact matrix quantum groups (so called "non-easy" quantum groups) with it. This also led to further theoretical insights regarding the representation theory of such quantum groups. We interpret some of the new categories constructing anticommutative twists of quantum groups.

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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.