Simplicity of quadratic Lie conformal algebras

Yanyong Hong; Zhixiang Wu

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Simplicity of quadratic Lie conformal algebras

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arxiv 1505.03312 v3 pith:OCS2I7VE submitted 2015-05-13 math.QA math-phmath.MPmath.RA

Yanyong Hong , Zhixiang Wu This is my paper

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keywords algebrasconformalquadraticsimplicityconditionsbialgebrasclassesclassification

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In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and necessary conditions to ensure simplicity of quadratic Lie conformal algebras are presented. By these observations, we present several classes of new infinite simple Lie conformal algebras. These results will be useful for classification purposes.

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