Generalized Derivations of Hom-Lie Superalgebras

Jia Zhou; Liangyun Chen; Yao Ma

Generalized Derivations of Hom-Lie Superalgebras

Rings and Algebras 2014-06-09 v1

Authors: Jia Zhou , Liangyun Chen , Yao Ma

Abstract

In this paper, we give some basic properties of the generalized derivation algebra ${\rm GDer}(L)$ of a Hom-Lie superalgebra $L$ . In particular, we prove that ${\rm GDer}(L) = {\rm QDer}(L) + {\rm QC}(L)$ , the sum of the quasiderivation algebra and the quasicentroid. We also prove that ${\rm QDer}(L)$ can be embedded as derivations in a larger Hom-Lie superalgebra.

Keywords

Hom-Lie superalgebras generalized derivations quasiderivation algebra quasicentroid embedding

Cite

@article{arxiv.1406.1578,
  title  = {Generalized Derivations of Hom-Lie Superalgebras},
  author = {Jia Zhou and Liangyun Chen and Yao Ma},
  journal= {arXiv preprint arXiv:1406.1578},
  year   = {2014}
}

Comments

13pages

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