Article
| Title: | Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras (English) |
| Author: | Tan, Youjun |
| Author: | Xu, Senrong |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 2 |
| Year: | 2022 |
| Pages: | 559-591 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained. (English) |
| Keyword: | quasi-trace function |
| Keyword: | 3-Lie algebra |
| Keyword: | Leibniz algebra |
| MSC: | 17A32 |
| MSC: | 17A42 |
| MSC: | 17B05 |
| MSC: | 17B56 |
| idZBL: | Zbl 07547220 |
| idMR: | MR4412775 |
| DOI: | 10.21136/CMJ.2022.0059-21 |
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| Date available: | 2022-04-21T19:05:35Z |
| Last updated: | 2022-09-08 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150417 |
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