Deformations and generalized derivations of Lie conformal superalgebras

作者:Zhao, Jun; Chen, Liangyun*; Yuan, Lamei
来源:Journal of Mathematical Physics, 2017, 58(11): 111702.
DOI:10.1063/1.5012886

摘要

In this paper, we study deformations and generalized derivations of Lie conformal superalgebras. First, we study conformal derivations of the semidirect product of a Lie conformal superalgebra and its conformal module. Second, we extend the cohomology theory of Lie conformal algebras to the super case and discuss some applications to deformations of Lie conformal superalgebras. Finally, we introduce generalized derivations of Lie conformal superalgebras and study their properties. Published by AIP Publishing.