The second Hochschild cohomology and deformations of Brauer graph algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908990556864512 |
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| author | Liu, Yuming Wang, Zhengfang Xing, Bohan |
| author_facet | Liu, Yuming Wang, Zhengfang Xing, Bohan |
| contents | In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geometric interpretations of deformations associated to some standard cocycles in terms of the surface models of Brauer graph algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06888 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The second Hochschild cohomology and deformations of Brauer graph algebras Liu, Yuming Wang, Zhengfang Xing, Bohan Rings and Algebras 16E40, 16S80, 16G20 In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geometric interpretations of deformations associated to some standard cocycles in terms of the surface models of Brauer graph algebras. |
| title | The second Hochschild cohomology and deformations of Brauer graph algebras |
| topic | Rings and Algebras 16E40, 16S80, 16G20 |
| url | https://arxiv.org/abs/2601.06888 |