A higher-dimensional generalization of the notion of vertex algebra

被引：2
|
作者：
Li, HS [1 ]
机构：
[1] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA
[2] Harbin Normal Univ, Dept Math, Harbin, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2003年 / 262卷 / 01期
关键词：
D O I：
10.1016/S0021-8693(03)00018-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A higher-dimensional analogue of the notion of vertex algebra, called that of axiomatic G(n)-vertex algebra, is formulated with Borcherds' notion of G-vertex algebra as a motivation. Some examples are given and certain analogous duality properties are proved. It is proved that for any vector space W, any set of mutually local multi-variable vertex operators on W in a certain canonical way generates an axiomatic G(n)-vertex algebra with W as a natural module. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：1 / 41
页数：41
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