On Rankin-Cohen brackets for Siegel modular forms

We determine an explicit formula for a Rankin-Cohen bracket for Siegel modular forms of degree n on a certain subgroup of the symplectic group. Moreover, we lift that bracket via a Poincaré series to a Siegel cusp form on the full symplectic group.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2006-04, Vol.134 (4), p.995-1001
Main Authors: Özlem Imamoglu, Richter, Olav K.
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Integers
Mathematical cusps
Mathematics
Number theory
Polynomials
Sciences and techniques of general use
Online Access:Get full text
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Description
Summary:We determine an explicit formula for a Rankin-Cohen bracket for Siegel modular forms of degree n on a certain subgroup of the symplectic group. Moreover, we lift that bracket via a Poincaré series to a Siegel cusp form on the full symplectic group.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-05-08270-5