论文标题

正式的顶点法律与谎言保形代数相关的法律

Formal vertex laws associated to Lie conformal algebras

论文作者

Boyallian, Carina, Guzmán, Juan

论文摘要

我们在顶点和保形代数的框架内介绍了几个定义,这些定义类似于经典谎言理论的一些重要概念。最重要的是,我们定义了正式的顶点法律,这与正式的团体法律的概念相对应。我们证明了许多经典结果的合适顶点/保形版本,例如Milnor-Moore定理,Cartier二元性以及正式组定律和Lie代数之间的等效性。

We introduce several definitions within the framework of vertex and conformal algebras which are analogous to some important concepts of the classical Lie theory. Most importantly, we define formal vertex laws, which correspond to the notion of formal group law. We prove suitable vertex/conformal versions of a number of classical results such as the Milnor-Moore theorem, Cartier duality, and the equivalence between formal group laws and Lie algebras.

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