New irreducible tensor product modules for the Virasoro algebra

Xiangqian Guo; Xuewen Liu; Jing Wang

New irreducible tensor product modules for the Virasoro algebra

Representation Theory 2017-09-01 v1

Authors: Xiangqian Guo , Xuewen Liu , Jing Wang

Abstract

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $\Omega(\lambda,\alpha,h)$ defined in \cite{CG}, with irreducible highest weight modules $V(\theta,h)$ or with irreducible Virasoro modules Ind $_{\theta}(N)$ defined in \cite{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. These modules are not isomorphic to any other known irreducible Virasoro modules.

Keywords

Virasoro algebra tensor product module irreducible module highest weight module isomorphism condition

Cite

@article{arxiv.1708.09747,
  title  = {New irreducible tensor product modules for the Virasoro algebra},
  author = {Xiangqian Guo and Xuewen Liu and Jing Wang},
  journal= {arXiv preprint arXiv:1708.09747},
  year   = {2017}
}

Comments

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

New irreducible tensor product modules for the Virasoro algebra

Abstract

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