Rankin-Cohen Deformations and Representation Theory
Quantum Algebra
2007-08-14 v1 Combinatorics
Abstract
In this paper, we use the unitary representation theory of 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.
Keywords
Cite
@article{arxiv.0708.1528,
title = {Rankin-Cohen Deformations and Representation Theory},
author = {Yi-Jun Yao},
journal= {arXiv preprint arXiv:0708.1528},
year = {2007}
}