On the Hecke Equivariance of the Borcherds Isomorphism |
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| Authors: | Guerzhoy P |
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| Institution: | Department of Mathematics, Temple University 1805 N. Broad Str., Philadelphia, PA 19122, USA; pasha{at}math.temple.edu |
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| Abstract: | The Borcherds isomorphism is proved to be Hecke equivariantif one considers multiplicative Hecke operators acting on theintegral weight meromorphic modular forms. This answers a partof a question of Borcherds (see ‘Automorphic forms onOs+2, 2(R) and infinite products’, Invent. Math. 120 (1995)161–213, 17.10), using his suggestion to define the multiplicativeHecke operators. 2000 Mathematics Subject Classification 11F37. |
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