Representations of Basic Hopf Algebras of Tame Type

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-08-29 DOI:10.1007/s41980-024-00908-6

Shiyu Lin, Shilin Yang

引用次数: 0

Abstract

In this paper, all string modules of one class of basic Hopf algebras of tame type, which are denoted by \(\mathbb {H}_2\) are studied. Firstly, the isomorphism classes of all string modules of \(\mathbb {H}_2\) are classified. Then the projective class ring of \(\mathbb {H}_2\) is described. Finally, the McKay matrix and the corresponding McKay quiver of \(\mathbb {H}_2\) are discussed.

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驯服型基本霍普夫代数的表示

本文研究了一类驯服型基本霍普夫布拉的所有弦模块，它们用 \(\mathbb {H}_2\) 表示。首先，对 \(\mathbb {H}_2\) 的所有弦模块的同构类进行了分类。然后描述了 \(\mathbb {H}_2\) 的投影类环。最后，讨论了 \(\mathbb {H}_2\) 的麦凯矩阵和相应的麦凯四维。

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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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.