Self-injective algebras under derived equivalences
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929561509298176 |
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| author | Xi, Changchang Zhang, Jin |
| author_facet | Xi, Changchang Zhang, Jin |
| contents | The Nakayama permutations of two derived equivalent, self-injective Artin algebras are conjugate. A different but elementary approach is given to showing that the weak symmetry and self-injectivity of finite-dimensional algebras over an arbitrary field are preserved under derived equivalences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04012 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Self-injective algebras under derived equivalences Xi, Changchang Zhang, Jin Representation Theory Rings and Algebras Primary 18G80, 16E35, 16D50, Secondary 16G10, 18F30, 16P10 The Nakayama permutations of two derived equivalent, self-injective Artin algebras are conjugate. A different but elementary approach is given to showing that the weak symmetry and self-injectivity of finite-dimensional algebras over an arbitrary field are preserved under derived equivalences. |
| title | Self-injective algebras under derived equivalences |
| topic | Representation Theory Rings and Algebras Primary 18G80, 16E35, 16D50, Secondary 16G10, 18F30, 16P10 |
| url | https://arxiv.org/abs/2310.04012 |