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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2406.12190 |
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| _version_ | 1866913394221645824 |
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| author | Caranguay-Mainguez, Jhony F. Rizzo, Pedro Velez-Marulanda, Jose A. |
| author_facet | Caranguay-Mainguez, Jhony F. Rizzo, Pedro Velez-Marulanda, Jose A. |
| contents | Let $\mathbf{k}$ be an algebraically closed field. Recently, K. Erdmann classified the symmetric $\mathbf{k}$-algebras $Λ$ of finite representation type such that every non-projective module $M$ has period dividing four. The goal of this paper is to determine the indecomposable modules $M$ over these class of algebras $Λ$ whose stable endomorphism ring is isomorphic to $\mathbf{k}$, and then calculate their corresponding universal deformation rings (in the sense of F. M. Bleher and the third author). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type Caranguay-Mainguez, Jhony F. Rizzo, Pedro Velez-Marulanda, Jose A. Representation Theory Let $\mathbf{k}$ be an algebraically closed field. Recently, K. Erdmann classified the symmetric $\mathbf{k}$-algebras $Λ$ of finite representation type such that every non-projective module $M$ has period dividing four. The goal of this paper is to determine the indecomposable modules $M$ over these class of algebras $Λ$ whose stable endomorphism ring is isomorphic to $\mathbf{k}$, and then calculate their corresponding universal deformation rings (in the sense of F. M. Bleher and the third author). |
| title | On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2406.12190 |