A result on certain coset subalgebras of the βγ-system 被引量：1

A result on certain coset subalgebras of the βγ-system

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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.

作者楚彦军黄芳郑驻军

机构地区 Department of Mathematics School of Mathematics and Information Science

出处《Chinese Physics C》 SCIE CAS CSCD 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

关键词 vertex algebra coset βγ-system -ring Hilbert series 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]

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同被引文献1

1楚彦军,张小慧.顶点代数的Commutant S(V_4)^(Θ+)的一个共形向量(英文)[J].河南大学学报（自然科学版）,2010,40(4):331-335. 被引量：2

引证文献1

1程俊芳,楚彦军.李代数sl(2,C)相关的βγ-系统的一类陪集子代数[J].河南大学学报（自然科学版）,2015,45(3):262-265. 被引量：1

二级引证文献1

1程俊芳,楚彦军.一类扭的Heisenberg-Virasoro顶点代数到βγ-系统的嵌入[J].河南大学学报（自然科学版）,2017,47(3):367-371. 被引量：1

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Chinese Physics C

2011年第2期

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A result on certain coset subalgebras of the βγ-system 被引量：1

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