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 theβγ-system

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In this paper, for the highest weight module V ₄of sl(2,C) with the highest weight 4, we describe subalgebras S_β( V ₄) ^θ+and S_γ( V ₄) ^θ+of the βγ-system coset S( V ₄) ^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
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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 theβγ-system

Received Date:2010-03-10

Accepted Date:2010-03-12

Available Online:2011-02-05

Abstract:In this paper, for the highest weight moduleV₄of sl(2,C) with the highest weight 4, we describe subalgebrasS_β(V₄)^θ+andS_γ(V₄)^θ+of theβγ-system cosetS(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 theβγ-system

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