φ∈-Coordinated modules for vertex algebras

被引：9
作者：
Bai, Chengming [1 ,2 ]
Li, Haisheng [3 ]
Pei, Yufeng [4 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA
[4] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2015年 / 426卷
关键词：
Vertex algebras; Formal group; Coordinated modules; Lie algebras; Novikov algebras; QUASIFINITE MODULES; LIE-ALGEBRA;
D O I：
10.1016/j.jalgebra.2014.11.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study phi(is an element of)-coordinated modules for vertex algebras, where phi(is an element of) with is an element of an integer parameter is a family of associates of the one-dimensional additive formal group. As the main results, we obtain a Jacobi type identity and a commutator formula for phi(is an element of)-coordinated modules. We then use these results to study phi(is an element of)-coordinated modules for vertex algebras associated to Novikov algebras by Primc. (C) 2014 Elsevier Inc. All rights reserved.
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收藏
页码：211 / 242
页数：32
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