Derived preprojective algebras and spherical twist functors
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915332231266304 |
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| author | Mizuno, Yuya Yang, Dong |
| author_facet | Mizuno, Yuya Yang, Dong |
| contents | We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors and mutations. Especially, for a Dynkin quiver, we establish a bijection between the elements of the braid group and the set of isomorphism classes of basic silting objects over the derived preprojective algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02725 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived preprojective algebras and spherical twist functors Mizuno, Yuya Yang, Dong Representation Theory Category Theory 16E45, 18G80, 16E35 We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors and mutations. Especially, for a Dynkin quiver, we establish a bijection between the elements of the braid group and the set of isomorphism classes of basic silting objects over the derived preprojective algebra. |
| title | Derived preprojective algebras and spherical twist functors |
| topic | Representation Theory Category Theory 16E45, 18G80, 16E35 |
| url | https://arxiv.org/abs/2407.02725 |