On algebras of finite general representation type
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866909143198072832 |
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| author | Kinser, Ryan Lara, Danny |
| author_facet | Kinser, Ryan Lara, Danny |
| contents | We introduce the notion of ``finite general representation type'' for a finite-dimensional algebra, a property related to the ``dense orbit property'' introduced by Chindris-Kinser-Weyman. We use an interplay of geometric, combinatorial, and algebraic methods to produce a family of algebras of wild representation type but finite general representation type. For completeness, we also give a short proof that the only local algebras of discrete general representation type are already of finite representation type. We end with a Brauer-Thrall style conjecture for general representations of algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_02847 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On algebras of finite general representation type Kinser, Ryan Lara, Danny Representation Theory Rings and Algebras 16G60, 16G20, 14L30 We introduce the notion of ``finite general representation type'' for a finite-dimensional algebra, a property related to the ``dense orbit property'' introduced by Chindris-Kinser-Weyman. We use an interplay of geometric, combinatorial, and algebraic methods to produce a family of algebras of wild representation type but finite general representation type. For completeness, we also give a short proof that the only local algebras of discrete general representation type are already of finite representation type. We end with a Brauer-Thrall style conjecture for general representations of algebras. |
| title | On algebras of finite general representation type |
| topic | Representation Theory Rings and Algebras 16G60, 16G20, 14L30 |
| url | https://arxiv.org/abs/2204.02847 |