Quasi-Whittaker modules over the conformal Galilei algebras |
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Authors: | Yan-an Cai Qiufan Chen |
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Affiliation: | 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, P.R. China.;2. Department of Mathematics, Shanghai Maritime University, Shanghai, P.R. China. |
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Abstract: | In this paper, we study quasi-Whittaker modules over the conformal Galilei algebras. We determine all quasi-Whittaker vectors and the simplicities of the universal quasi-Whittaker modules. For the reducible ones, we determine the corresponding simple quotient modules. Thus we classify all simple quasi-Whittaker modules for the conformal Galilei algebras. |
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Keywords: | Conformal Galilei algebras quasi-Whittaker modules simple modules |
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