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ON THE HECKE EQUIVARIANCE OF THE BORCHERDS ISOMORPHISM

Published online by Cambridge University Press:  30 January 2006

P. GUERZHOY
P. GUERZHOY
Affiliation:
Department of Mathematics, Temple University, 1805 N. Broad Str., Philadelphia, PA 19122, USApasha@math.temple.edu
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Abstract

The Borcherds isomorphism is proved to be Hecke equivariant if one considers multiplicative Hecke operators acting on the integral weight meromorphic modular forms. This answers a part of a question of Borcherds (see ‘Automorphic forms on ${\rm O}_{s+2,2}(R)$ and infinite products’, Invent. Math. 120 (1995) 161–213, 17.10), using his suggestion to define the multiplicative Hecke operators.

Keywords

11F37
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 1 , February 2006 , pp. 93 - 96
Copyright
The London Mathematical Society 2006

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Footnotes

Partially supported by NSF grant DMS-0501225.