Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras
| Autor: | Li, Yizheng, Wang, DIngguo |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we construct a differential graded Lie algebra whose Maurer-Cartan elements are given by crossed homomorphisms on Leibniz algebras. This allows us to define cohomology for a crossed homomorphism. Finally, we study linear deformations, formal deformations and extendibility of finite order deformations of a crossed homomorphism in terms of the cohomology theory. Comment: 11pages |
| Databáze: | arXiv |
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