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Rankin-Cohen Deformations and Representation Theory

2007/08/10 by Yi-Jun Yao, Yao, Yi-Jun
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.0708.1528

Abstract

In this paper, we use the unitary representation theory of SL2(\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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