Irreducible weight modules over the twisted Schrödinger-Virasoro algebra |
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| Authors: | Jun Bo Li Yu Cai Su |
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| Institution: | (1) Department of Mathematics, Changshu Institute of Technology, Changshu, 215500, P. R. China;(2) Department of Mathematics, University of Science and Technology of China, Hefei, 230026, P. R. China |
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| Abstract: | It is shown that the support of an irreducible weight module over the Schrödinger-Virasoro Lie algebra with an infinite-dimensional weight space coincides with the weight lattice, and all nontrivial weight spaces of such a module are infinite-dimensional. As a by-product, it is obtained that every simple weight module over Lie algebra of this type with a nontrivial finite-dimensional weight space is a Harish-Chandra module. |
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| Keywords: | Schrodinger-Virasoro Lie algebras weight modules irreducible modules |
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