English

Deformations and generalized derivations of Hom-Lie conformal algebras

Rings and Algebras 2017-11-23 v2

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 αk\alpha^k-derivations of multiplicative Hom-Lie conformal algebras and study their properties.

Keywords

Cite

@article{arxiv.1607.00713,
  title  = {Deformations and generalized derivations of Hom-Lie conformal algebras},
  author = {Jun Zhao and Lamei Yuan and Liangyun Chen},
  journal= {arXiv preprint arXiv:1607.00713},
  year   = {2017}
}

Comments

Accepted for publication in SCIENCE CHINA Mathematics