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arXiv · 2211.04030

Reduction theorem for support $\tau$-tilting modules over group algebras

Naoya Hiramae
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Abstract

In studying the structure of derived categories of module categories of group algebras or their blocks, it is fundamental to classify support $\tau$-tilting modules. Koshio and Kozakai showed that the structure of support $\tau$-tilting modules over blocks of finite groups can be reduced to that of their subgroups under suitable conditions. We show that the 'quotient reduction' is also valid under suitable conditions.

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BibTeXRIS

Naoya Hiramae. 2022-11-08. Reduction theorem for support $\tau$-tilting modules over group algebras. https://arxiv.org/abs/2211.04030

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