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Rankin-Cohen Deformations and Representation Theory |
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| Authors: | Yijun YAO |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China |
| Abstract: | The author uses the unitary representation theory of SL2(R) to understand the Rankin-Cohen brackets for modular forms. Then this interpretation is used to study the corresponding deformation problems that Paula Cohen, Yuri Manin and Don Zagier initiated. Two uniqueness results are established. |
| Keywords: | Modular forms Rankin-Cohen brackets Representation theory Rankin-Cohen deformation |
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