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

Deng Liu; Hao Zhou; Nuan Zhang; Yanyong Hong

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

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arxiv 1808.06035 v1 pith:ASGJ7VA5 submitted 2018-08-18 math.RA math.RT

Deng Liu , Yanyong Hong , Hao Zhou , Nuan Zhang This is my paper

classification math.RAmath.RT

keywords conformalalgebraalgebraiccompatibleleft-symmetricmathcalstructuresclassification

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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 $\mathcal{W}(a,b)$.

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