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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

  • In this paper, for the highest weight module V4 of sl(2,C) with the highest weight 4, we describe subalgebras Sβ(V4)θ+ and Sγ(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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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 Sβ(V4)θ+ and Sγ(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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