3-Preprojective Algebras of Type D
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909598398545920 |
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| author | Haden, Jordan |
| author_facet | Haden, Jordan |
| contents | We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a $\mathbb{Z}_3$-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 3-Preprojective Algebras of Type D Haden, Jordan Representation Theory We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a $\mathbb{Z}_3$-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3). |
| title | 3-Preprojective Algebras of Type D |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2403.14285 |