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