Invariants of derived equivalences for admissible fractional Brauer graph algebras
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918532090953728 |
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| author | Xing, Bohan |
| author_facet | Xing, Bohan |
| contents | Characterizing derived equivalences between algebras via combinatorial structures has recently become a popular topic. In this paper, we study admissible fractional Brauer graph algebras, a new subclass of self-injective special biserial algebras, and provide several easily checkable combinatorial invariants for derived equivalences between them. In particular, we show that these algebras can be viewed as repetitive algebras and $r$-fold trivial extensions of gentle algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06557 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Invariants of derived equivalences for admissible fractional Brauer graph algebras Xing, Bohan Representation Theory 16G20, 16G10, 16D50 Characterizing derived equivalences between algebras via combinatorial structures has recently become a popular topic. In this paper, we study admissible fractional Brauer graph algebras, a new subclass of self-injective special biserial algebras, and provide several easily checkable combinatorial invariants for derived equivalences between them. In particular, we show that these algebras can be viewed as repetitive algebras and $r$-fold trivial extensions of gentle algebras. |
| title | Invariants of derived equivalences for admissible fractional Brauer graph algebras |
| topic | Representation Theory 16G20, 16G10, 16D50 |
| url | https://arxiv.org/abs/2604.06557 |