Four-vertex quivers supporting twisted graded Calabi-Yau algebras
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914709919236096 |
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| author | Gaddis, Jason Lamkin, Thomas Nguyen, Thy Wright, Caleb |
| author_facet | Gaddis, Jason Lamkin, Thomas Nguyen, Thy Wright, Caleb |
| contents | We study quivers supporting twisted graded Calabi-Yau algebras, building on work of Rogalski and the first author. Specifically, we classify quivers on four vertices in which the Nakayama automorphism acts on the degree zero part by either a four-cycle, a three-cycle, or two two-cycles. In order to realize algebras associated to some of these quivers, we show that graded twists of a twisted graded Calabi-Yau algebra is another algebra of the same type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_06418 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Four-vertex quivers supporting twisted graded Calabi-Yau algebras Gaddis, Jason Lamkin, Thomas Nguyen, Thy Wright, Caleb Rings and Algebras We study quivers supporting twisted graded Calabi-Yau algebras, building on work of Rogalski and the first author. Specifically, we classify quivers on four vertices in which the Nakayama automorphism acts on the degree zero part by either a four-cycle, a three-cycle, or two two-cycles. In order to realize algebras associated to some of these quivers, we show that graded twists of a twisted graded Calabi-Yau algebra is another algebra of the same type. |
| title | Four-vertex quivers supporting twisted graded Calabi-Yau algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2305.06418 |