Article
| Title: | Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials (English) |
| Author: | Xia, Xuejun |
| Author: | Li, Libin |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 4 |
| Year: | 2022 |
| Pages: | 1029-1044 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected $\mathbb Z$-graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2. (English) |
| Keyword: | graded Frobenius algebra |
| Keyword: | coalgebra |
| Keyword: | twisted superpotential |
| MSC: | 16W50 |
| MSC: | 16W55 |
| idZBL: | Zbl 07655779 |
| idMR: | MR4517592 |
| DOI: | 10.21136/CMJ.2022.0315-21 |
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| Date available: | 2022-11-28T11:35:17Z |
| Last updated: | 2023-04-11 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151126 |
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