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arXiv · 1607.00713

Deformations and generalized derivations of Hom-Lie conformal algebras

Jun Zhao·Lamei Yuan·Liangyun Chen
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Abstract

The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce $\alpha^k$-derivations of multiplicative Hom-Lie conformal algebras and study their properties.

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Jun Zhao, Lamei Yuan, Liangyun Chen. 2016-07-04. Deformations and generalized derivations of Hom-Lie conformal algebras. https://doi.org/10.1007/s11425-016-9063-0

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