Rankin-Cohen Deformations and Representation Theory

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Chinese annals of mathematics. Serie B 2014-09, Vol.35 (5), p.817-840
1. Verfasser:	Yao, Yijun
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics 变形问题模块化科恩表示理论表示论
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Beschreibung
Zusammenfassung:	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.
ISSN:	0252-9599 1860-6261
DOI:	10.1007/s11401-014-0850-z