Axiomatic G1-vertex algebras
Axiomatic G1-vertex algebras
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DOI：
10.1142/s0219199703000987
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发表时间：
2003-04
影响因子：
1.6
通讯作者：
Haisheng Li
中科院分区：
文献类型：
--
作者：
Haisheng Li
受到 Borcherds 关于“G 顶点代数”工作的启发，我们制定并研究了 Borcherds 的最简单非平凡基本顶点群的 G 顶点代数概念的公理对应物，我们将其表示为 G1。具体来说，我们提出了公理化G1-顶点代数的概念，证明了某些基本性质并给出了某些例子，其中公理化G1-顶点代数的概念是顶点代数概念的非局部推广。我们还展示了如何从一组兼容的 G1 顶点算子构造公理化 G1 顶点代数。
Inspired by Borcherds' work on "G-vertex algebras," we formulate and study an axiomatic counterpart of Borcherds' notion of G-vertex algebra for the simplest nontrivial elementary vertex group, which we denote by G1. Specifically, we formulate a notion of axiomatic G1-vertex algebra, prove certain basic properties and give certain examples, where the notion of axiomatic G1-vertex algebra is a nonlocal generalization of the notion of vertex algebra. We also show how to construct axiomatic G1-vertex algebras from a set of compatible G1-vertex operators.