On representations of algebras with radical square zero
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912906289872896 |
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| author | Drozd, Yuriy A. |
| author_facet | Drozd, Yuriy A. |
| contents | We consider a new correspondence between representations of algebras with radical square zero and
representations of species. We show that the stable category of representations of such algebra embeds
into the representation category of the corresponding species and show how one reconstruct the Auslander-Reiten
quiver of the algebra from the Auslander-Reiten quiver of the species. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14171 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On representations of algebras with radical square zero Drozd, Yuriy A. Representation Theory 16G70, 16D90, 16G10, 16G20 We consider a new correspondence between representations of algebras with radical square zero and representations of species. We show that the stable category of representations of such algebra embeds into the representation category of the corresponding species and show how one reconstruct the Auslander-Reiten quiver of the algebra from the Auslander-Reiten quiver of the species. |
| title | On representations of algebras with radical square zero |
| topic | Representation Theory 16G70, 16D90, 16G10, 16G20 |
| url | https://arxiv.org/abs/2602.14171 |