Harish-Chandra modules over generalized Heisenberg-Virasoro algebras |
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| Authors: | Genqiang Liu Xiangqian Guo |
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| Institution: | 1. College of Mathematics and Information Science, Henan University, Kaifeng, 475004, Henan, P. R. China
2. School of Mathematics and Statistics, Zhengzhou university, Zhengzhou, 450001, Henan, P. R. China
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| Abstract: | In this paper, we give a complete classification of irreducible Harish-Chandra modules for any generalized Heisenberg-Virasoro algebra. In particular, we present a simpler and more conceptual proof of the classification of irreducible Harish-Chandra modules over the classical Heisenberg-Virasoro algebra, which was first obtained by Rencai Lu and Kaiming Zhao in LZ1]. Our methods are based on the ideas of polynomial modules from B1, BB]. |
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