Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $\mathcal{W}(a,b)$

Deng Liu; Yanyong Hong; Hao Zhou; Nuan Zhang

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $\mathcal{W}(a,b)$

Rings and Algebras 2018-08-21 v1 Representation Theory

Authors: Deng Liu , Yanyong Hong , Hao Zhou , Nuan Zhang

Abstract

In this paper, under some natural condition, a complete classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $\mathcal{W}(a,b)$ is presented. Moreover, applying this result, we obtain a class of compatible left-symmetric algebraic structures on the coefficient algebra of $\mathcal{W}(a,b)$ .

Keywords

left-symmetric conformal algebra lie conformal algebra compatible structures classification w(a,b)

Cite

@article{arxiv.1808.06035,
  title  = {Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $\mathcal{W}(a,b)$},
  author = {Deng Liu and Yanyong Hong and Hao Zhou and Nuan Zhang},
  journal= {arXiv preprint arXiv:1808.06035},
  year   = {2018}
}

Comments

21 pages, to appear in Communications in Algebra

Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra $\mathcal{W}(a,b)$

Abstract

Keywords

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