关于局部顶点李代数的一些注记(英文)

SOME NOTES ON LOCAL VERTEX LIE ALGEBRAS

本文研究局部顶点李代数与顶点代数之间的关系.利用由局部顶点李代数构造顶点代数的方法,定义局部顶点李代数之间的同态,证明了同态可以唯一诱导出由局部顶点李代数构造所得到的顶点代数之间的同态.

In this paper,we investigate relations between local vertex Lie algebras and vertex algebras.By the methods used in constructing vertex algebras from local vertex Lie algebras,we define the concept of a homomorphism between local vertex Lie algebras and prove that such homomorphism induces uniquely a vertex algebra homomorphism between vertex algebras constructed from vertex Lie algebras.