A result on certain coset subalgebras of the <EM>βγ</EM>-system

CHU Yan-Jun; HUANG Fang; ZHENG Zhu-Jun

doi:10.1088/1674-1137/35/2/008

Chinese Physics C> 2011, Vol. 35> Issue(2) : 149-152 DOI: 10.1088/1674-1137/35/2/008

A result on certain coset subalgebras of the βγ-system

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

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CHU Yan-Jun, HUANG Fang and ZHENG Zhu-Jun. A result on certain coset subalgebras of the βγ-system[J]. Chinese Physics C, 2011, 35(2): 149-152. doi: 10.1088/1674-1137/35/2/008

CHU Yan-Jun, HUANG Fang and ZHENG Zhu-Jun. A result on certain coset subalgebras of the βγ-system[J]. Chinese Physics C, 2011, 35(2): 149-152. doi: 10.1088/1674-1137/35/2/008 shu

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Received: 2010-03-10
Revised: 2010-03-12

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沈阳化工大学材料科学与工程学院沈阳 110142

A result on certain coset subalgebras of the βγ-system

Received Date: 2010-03-10

Accepted Date: 2010-03-12

Available Online: 2011-02-05

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

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A result on certain coset subalgebras of the βγ-system

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