Abstract
We investigate the representation theory of the positively based algebra Am,d, which is a generalization of the noncommutative Green algebra of weak Hopf algebra corresponding to the generalized Taft algebra. It turns out that Am,d is of finite representative type if d ⩽ 4, of tame type if d = 5, and of wild type if d ⩾ 6. In the case when d ⩽ 4, all indecomposable representations of Am,d are constructed. Furthermore, their right cell representations as well as left cell representations of Am,d are described.
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The research has been supported by the National Natural Science Foundation of China (Grant No. 11671024).
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Lin, S., Yang, S. Representations of a class of positively based algebras. Czech Math J 73, 811–838 (2023). https://doi.org/10.21136/CMJ.2023.0254-22
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DOI: https://doi.org/10.21136/CMJ.2023.0254-22