A result on certain coset subalgebras of the βγ-system  

作　　者：楚彦军 黄芳 郑驻军 

机构地区：[1]Department of Mathematics, South China University of Technology [2]School of Mathematics and Information Science, Henan University

出　　处：《Chinese Physics C》2011年第2期149-152,共4页中国物理C（英文版）

基　　金：Supported by National Natural Science Foundation of China (10971071);Provincial Foundation of Innovative Scholars of Henan

摘　　要：In this paper, for the highest weight module V4 of sl（2,C） with the highest weight 4, we describe subalgebras Sβ（V4）＋ and Sγ（V4）＋ of the βγ-system coset S（V4）＋ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.In this paper, for the highest weight module V4 of sl（2,C） with the highest weight 4, we describe subalgebras Sβ（V4）＋ and Sγ（V4）＋ of the βγ-system coset S（V4）＋ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.

关 键 词：vertex algebra coset βγ-system -ring Hilbert series 

分 类 号：O572.2[理学—粒子物理与原子核物理]