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New irreducible non-weight Virasoro modules from tensor products

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 نشر من قبل Haibo Chen
 تاريخ النشر 2019
  مجال البحث
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In this paper, we present a class of non-weight Virasoro modules $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)otimesbigotimes_{i=1}^mOmega(lambda_i,alpha_i)$ where $Omega(lambda_i,alpha_i)$ and $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)$ are irreducible Virasoro modules defined in cite{LZ2} and cite{LZ} respectively. The necessary and sufficient conditions for $mathcal{M}big(V,Omega(lambda_0,alpha_0)big)otimesbigotimes_{i=1}^mOmega(lambda_i,alpha_i)$ to be irreducible are obtained. Then we determine the necessary and sufficient conditions for two such irreducible Virasoro modules to be isomorphic. At last, we show that the irreducible modules in this class are new.

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