New irreducible tensor product modules for the Virasoro algebra (II)

Xuewen Liu; Xiangqian Guo; Jing Wang

New irreducible tensor product modules for the Virasoro algebra (II)

Representation Theory 2017-09-01 v1

Authors: Xuewen Liu , Xiangqian Guo , Jing Wang

Abstract

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $\Omega(\lambda,\alpha,h)$ and $\Omega(\mu, b)$ with irreducible highest weight modules $V(\theta,h)$ or with irreducible Virasoro modules Ind $_{\theta}(N)$ defined in [MZ2]. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. We also compare these modules with other known non-weight Virasoro modules.

Keywords

Virasoro algebra tensor product modules irreducible modules highest weight modules non-weight modules isomorphism conditions

Cite

@article{arxiv.1708.09748,
  title  = {New irreducible tensor product modules for the Virasoro algebra (II)},
  author = {Xuewen Liu and Xiangqian Guo and Jing Wang},
  journal= {arXiv preprint arXiv:1708.09748},
  year   = {2017}
}

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arXiv admin note: text overlap with arXiv:1301.2131 by other authors

New irreducible tensor product modules for the Virasoro algebra (II)

Abstract

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