Derivations and deformations of $\delta$-Jordan Lie supertriple systems

Shengxiang Wang; Xiaohui Zhang; Shuangjian Guo

Derivations and deformations of $\delta$-Jordan Lie supertriple systems

Rings and Algebras 2019-03-19 v1

Authors: Shengxiang Wang , Xiaohui Zhang , Shuangjian Guo

Abstract

Let $T$ be a $\delta$ -Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of $T$ and present some properties. Also, we study the low dimension cohomology and the coboundary operator of $T$ , and then we investigate the deformations and Nijenhuis operators of $T$ by choosing some suitable cohomology.

Keywords

delta-jordan lie supertriple system generalized derivation representation cohomology deformation nijenhuis operator

Cite

@article{arxiv.1903.07242,
  title  = {Derivations and deformations of $\delta$-Jordan Lie supertriple systems},
  author = {Shengxiang Wang and Xiaohui Zhang and Shuangjian Guo},
  journal= {arXiv preprint arXiv:1903.07242},
  year   = {2019}
}

Comments

23pages

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