Freely generated vertex algebras and non-linear Lie conformal algebras

被引：25
作者：
De Sole, A
Kac, VG
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 254卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s00220-004-1245-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We introduce the notion of a non-linear Lie conformal superalgebra and prove a PBW theorem for its universal enveloping vertex algebra. We also show that conversely any graded freely generated vertex algebra is the universal enveloping algebra of a unique, up to isomorphism, non-linear Lie conformal superalgebra. This correspondence will be applied in the subsequent work to the problem of classification of finitely generated simple graded vertex algebras.
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收藏
页码：659 / 694
页数：36
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