Automorphisms of locally string algebras
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912640257753088 |
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| author | Ford, Sarafina |
| author_facet | Ford, Sarafina |
| contents | It is known that automorphisms of finite-dimensional bound quiver algebras decompose into inner automorphisms and automorphisms which permute the vertices. In this paper, we show that for string algebras, automorphisms permuting vertices further decompose into a graded automorphism and a composition of certain types of exponential automorphisms. Moreover, the same decomposition applies to automorphisms of locally string algebras, which are an analogue of string algebras wherein the finite-dimensional condition is omitted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphisms of locally string algebras Ford, Sarafina Rings and Algebras 16W20 (Primary) 16R20, 16W50 (Secondary) It is known that automorphisms of finite-dimensional bound quiver algebras decompose into inner automorphisms and automorphisms which permute the vertices. In this paper, we show that for string algebras, automorphisms permuting vertices further decompose into a graded automorphism and a composition of certain types of exponential automorphisms. Moreover, the same decomposition applies to automorphisms of locally string algebras, which are an analogue of string algebras wherein the finite-dimensional condition is omitted. |
| title | Automorphisms of locally string algebras |
| topic | Rings and Algebras 16W20 (Primary) 16R20, 16W50 (Secondary) |
| url | https://arxiv.org/abs/2510.08701 |