Abstract
In this paper, we realize polynomial \(\mathcal {H}\)-modules \(\Omega (\lambda ,\alpha ,\beta )\) from irreducible twisted Heisenberg–Virasoro modules \(\mathcal {A}_{\alpha ,\beta }\). It follows from \(\mathcal {H}\)-modules \(\Omega (\lambda ,\alpha ,\beta )\) and \(\mathrm {Ind}(M)\) that we obtain a class of tensor product modules \(\big (\bigotimes _{i=1}^m\Omega (\lambda _i,\alpha _i,\beta _i)\big )\otimes \mathrm {Ind}(M)\). We give the necessary and sufficient conditions under which these modules are irreducible and isomorphic, and also give that the irreducible modules in this class are new.
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Acknowledgements
This work was partially supported by the NSFC (11801369, 11431010, 11971350). The authors thank the referee for helpful suggestions. The authors also thank Prof. Jianzhi Han for his useful discussions.
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Chen, H., Su, Y. Irreducible Twisted Heisenberg–Virasoro Modules from Tensor Products. Results Math 74, 183 (2019). https://doi.org/10.1007/s00025-019-1109-5
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DOI: https://doi.org/10.1007/s00025-019-1109-5