New irreducible non-weight Virasoro modules from tensor products
Abstract
In this paper, we present a class of non-weight Virasoro modules M(V,(λ0,α0))i=1m(λi,αi) where (λi,αi) and M(V,(λ0,α0)) are irreducible Virasoro modules defined in LZ2 and LZ respectively. The necessary and sufficient conditions for M(V,(λ0,α0))i=1m(λi,αi) 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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