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arXiv · 2211.09993

Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras

Yizheng Li·DIngguo Wang
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Abstract

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.

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Yizheng Li, DIngguo Wang. 2022-11-18. Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras. https://arxiv.org/abs/2211.09993

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