Representations of Basic Hopf Algebras of Tame Type

期刊论文
发表日期：

2024年8月29日

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Shiyu Lin,
Shilin Yang

摘要

In this paper, all string modules of one class of basic Hopf algebras of tame type, which are denoted by $\mathbb {H}_2$ $H_{2}$ are studied. Firstly, the isomorphism classes of all string modules of $\mathbb {H}_2$ $H_{2}$ are classified. Then the projective class ring of $\mathbb {H}_2$ $H_{2}$ is described. Finally, the McKay matrix and the corresponding McKay quiver of $\mathbb {H}_2$ $H_{2}$ are discussed.