Derived invariants of gentle orders
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915163538456576 |
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| author | Gnedin, Wassilij |
| author_facet | Gnedin, Wassilij |
| contents | This article is concerned with the derived representation theory of certain infinite-dimensional gentle algebras called gentle orders. For a gentle order, we provide a factorization of the derived Nakayama functor, study its fractionally Calabi-Yau objects and exceptional cycles, and establish that certain combinatorial invariants of its underlying quiver are derived invariants, analogous to results for finite-dimensional gentle algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14852 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derived invariants of gentle orders Gnedin, Wassilij Representation Theory 16GXX (Primary) 16E35, 16E65 (Secondary) This article is concerned with the derived representation theory of certain infinite-dimensional gentle algebras called gentle orders. For a gentle order, we provide a factorization of the derived Nakayama functor, study its fractionally Calabi-Yau objects and exceptional cycles, and establish that certain combinatorial invariants of its underlying quiver are derived invariants, analogous to results for finite-dimensional gentle algebras. |
| title | Derived invariants of gentle orders |
| topic | Representation Theory 16GXX (Primary) 16E35, 16E65 (Secondary) |
| url | https://arxiv.org/abs/2502.14852 |