Rankin-Cohen Deformations and Representation Theory
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rankin-cohenrepresentationtheorybracketscohencorrespondingdeformationdeformations
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In this paper, we use the unitary representation theory of $SL_2(\mathbb R)$ to understand the Rankin-Cohen brackets for modular forms. Then we use this interpretation to study the corresponding deformation problems that Paula Cohen, Yuri Manin and Don Zagier initiated. Two uniqueness results are established.
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