Abstract
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.
Citation
Apurba Das. "Cohomology and deformations of crossed homomorphisms." Bull. Belg. Math. Soc. Simon Stevin 28 (3) 381 - 397, march 2022. https://doi.org/10.36045/j.bbms.200513
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