Deformations and generalized derivations of Hom-Lie conformal algebras

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.

Accepted for publication in SCIENCE CHINA Mathematics

References in corpus (2)

• Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras
• The varieties of Heisenberg vertex operator algebras