The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910818477539328 |
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| author | Suárez-Álvarez, Mariano |
| author_facet | Suárez-Álvarez, Mariano |
| contents | We prove that the Nakayama automorphism of a Frobenius algebra acts trivially on the Hochschild cohomology of the algebra. As an application of this fact, we show how to construct certain invariants attached to such algebras, and to their automorphisms and derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology Suárez-Álvarez, Mariano K-Theory and Homology Rings and Algebras 16E40 (Primary) 16D50, 16W20, 16W25 (Secondary) We prove that the Nakayama automorphism of a Frobenius algebra acts trivially on the Hochschild cohomology of the algebra. As an application of this fact, we show how to construct certain invariants attached to such algebras, and to their automorphisms and derivations. |
| title | The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology |
| topic | K-Theory and Homology Rings and Algebras 16E40 (Primary) 16D50, 16W20, 16W25 (Secondary) |
| url | https://arxiv.org/abs/2502.04546 |