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Leibniz algebras constructed by Witt algebras |
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| Authors: | L. M. Camacho B. A. Omirov T. K. Kurbanbaev |
| Affiliation: | 1. Dpto. Matemática Aplicada I., Universidad de Sevilla, Sevilla, Spainlcamacho@us.es!["ORCID]({"type":"image","src":"/templates/jsp/images/orcid.png"} "\"ORCID") https://orcid.org/0000-0002-0232-643X;3. Department of Algebra and Functional Analysis, National University of Uzbekistan, Tashkent, Uzbekistan;4. Institute of Mathematics of Uzbek Academy of Sciences, Tashkent, Uzbekistan |
| Abstract: | ABSTRACTWe describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself. |
| Keywords: | Leibniz algebra Witt Lie algebra Leibniz representation right Lie module classification |