From finite to infinite length modules over tame hereditary algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917450475372544 |
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| author | Hügel, Lidia Angeleri Hubery, Andrew Krause, Henning |
| author_facet | Hügel, Lidia Angeleri Hubery, Andrew Krause, Henning |
| contents | A self-contained introduction to infinite dimensional representations over a tame hereditary algebra is provided, assuming a basic knowledge of the category of finite dimensional representations. This includes a complete description of all pure-injective modules. Of particular interest are the torsionfree divisible modules, which are precisely the direct sums of copies of the unique generic module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27528 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From finite to infinite length modules over tame hereditary algebras Hügel, Lidia Angeleri Hubery, Andrew Krause, Henning Representation Theory Rings and Algebras 16G10, 16D70, 18E45 A self-contained introduction to infinite dimensional representations over a tame hereditary algebra is provided, assuming a basic knowledge of the category of finite dimensional representations. This includes a complete description of all pure-injective modules. Of particular interest are the torsionfree divisible modules, which are precisely the direct sums of copies of the unique generic module. |
| title | From finite to infinite length modules over tame hereditary algebras |
| topic | Representation Theory Rings and Algebras 16G10, 16D70, 18E45 |
| url | https://arxiv.org/abs/2604.27528 |