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Cohomology and deformations of crossed homomorphisms
Apurba Das
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Source: Crossref
Published: Mar 1, 2022
DOI: 10.36045/j.bbms.200513
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We consider crossed homomorphisms between associative algebras. We construct a differential graded Lie algebra whose Maurer-Cartan elements are given by crossed homomorphisms. 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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