Deformations and generalized derivations of Hom-Lie conformal algebras
arXiv:1607.00713 · doi:10.1007/s11425-016-9063-0
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 $α^k$-derivations of multiplicative Hom-Lie conformal algebras and study their properties.
Accepted for publication in SCIENCE CHINA Mathematics