Article
| Title: | Representations of a class of positively based algebras (English) |
| Author: | Lin, Shiyu |
| Author: | Yang, Shilin |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 811-838 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We investigate the representation theory of the positively based algebra $A_{m,d}$, which is a generalization of the noncommutative Green algebra of weak Hopf algebra corresponding to the generalized Taft algebra. It turns out that $A_{m,d}$ is of finite representative type if $d\leq 4$, of tame type if $d=5$, and of wild type if $d\ge 6.$ In the case when $d\leq 4$, all indecomposable representations of $A_{m,d}$ are constructed. Furthermore, their right cell representations as well as left cell representations of $A_{m,d}$ are described. (English) |
| Keyword: | positively based algebra |
| Keyword: | indecomposable module |
| Keyword: | cell module |
| MSC: | 16D80 |
| MSC: | 16G60 |
| idZBL: | Zbl 07729539 |
| idMR: | MR4632859 |
| DOI: | 10.21136/CMJ.2023.0254-22 |
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| Date available: | 2023-08-11T14:24:31Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151776 |
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