李2-代数构造2-顶点代数（英文）

2-Vertex Algebras Associated to Lie 2-Algebras

利用内范畴的工具给出2-顶点代数的概念.接着给出两个2-顶点代数的直和和张量积还是2-顶点代数这一重要性质.作为2-顶点代数的例子,从一个李2-代数g出发构造一个2-顶点代数Vk(g).

Our main goal in this paper is to give the notion of 2-vertex algebra by using the internal category theory. Then we obtain that the direct sum and tensor product of two 2-vertex algebras are also 2-vertex algebras. As an example, we construct a 2-vertex algebra Vk（g） associated to a Lie 2-algebra g.