标题： 顶点F-代数及其相关的李代数 显示英文标题

标题： Vertex F-algebras and their associated Lie algebra

摘要： 顶点F-代数是普通顶点代数概念的一种变形，在这种变形中，加法形式群被任意形式群F所取代。本文的主要定理从顶点F-代数构造了一个李代数——对于加法形式群律，这推广了Borcherds关于普通顶点代数的著名构造。 我们的构造涉及新的F-留数概念以及其他一些新的代数概念，这些是对加法形式群律特殊情况下的熟悉概念的变形。 显示英文摘要

摘要： Vertex F-algebras are a deformation of the concept of an ordinary vertex algebra in which the additive formal group law is replaced by an arbitrary formal group law F. The main theorem of this paper constructs a Lie algebra from a vertex F-algebra - for the additive formal group law, this extends Borcherds' well-known construction for ordinary vertex algebras. Our construction involves the new concept of an F-residue and some other new algebraic concepts, which are deformations of familiar concepts for the special case of an additive formal group law.