Rankin-Cohen Deformations and Representation Theory

Details Rankin-Cohen Deformations and Representation Theory Rankin-Cohen Deformations and Representation Theory

2007-08-10

arxiv.org/abs/0708.1528v1

Mathematics

Quantum Algebra

Scientific paper

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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