English

Non-weight modules over the affine-Virasoro algebra of type $A_1$

Representation Theory 2019-09-04 v1

Abstract

In this paper, we study a class of non-weight modules over the affine-Virasoro algebra of type A1A_1, which are free modules of rank one when restricted to the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the simplicity and the isomorphism classes of these modules are determined.

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Cite

@article{arxiv.1904.10334,
  title  = {Non-weight modules over the affine-Virasoro algebra of type $A_1$},
  author = {Qiufan Chen and Jianzhi Han},
  journal= {arXiv preprint arXiv:1904.10334},
  year   = {2019}
}

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14 pages