二次共形李代数的单纯性
Simplicity of quadratic Lie conformal algebras
摘要：
本文研究了二次共形李代数的单性。从相应的Gel'fand-Dorfman双代数的角度，给出了保证二次共形李代数单性的几个充分条件和必要条件.通过这些观察，我们给出了几类新的无限单共形李代数。这些结果将有助于分类目的。
英文摘要：
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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