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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.14134 |
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| _version_ | 1866909144696487936 |
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| author | Aoki, Toshitaka Zhang, Yingying |
| author_facet | Aoki, Toshitaka Zhang, Yingying |
| contents | For Brauer graph algebras, tilting mutation is compatible with flip of Brauer graphs. The aim of this paper is to generalize this result to the class of Brauer configuration algebras introduced by Green and Schroll recently. More precisely, under a certain condition, we introduce flip of Brauer configurations and prove that it is compatible with tilting mutation of the corresponding Brauer configuration algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutation of Brauer configuration algebras Aoki, Toshitaka Zhang, Yingying Representation Theory 16G20 For Brauer graph algebras, tilting mutation is compatible with flip of Brauer graphs. The aim of this paper is to generalize this result to the class of Brauer configuration algebras introduced by Green and Schroll recently. More precisely, under a certain condition, we introduce flip of Brauer configurations and prove that it is compatible with tilting mutation of the corresponding Brauer configuration algebras. |
| title | Mutation of Brauer configuration algebras |
| topic | Representation Theory 16G20 |
| url | https://arxiv.org/abs/2403.14134 |