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Journal of Lie Theory 11 (2001), No. 2, 545--557 Copyright Heldermann Verlag 2001 Jacobi Forms on Symmetric Domains and Torus Bundles over Abelian Schemes Min Ho Lee Dept. of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A. We introduce Jacobi forms on Hermitian symmetric domains using automorphy factors associated to torus bundles over abelian schemes. We discuss families of modular forms determined by such Jacobi forms and prove that these Jacobi forms reduce to the usual Jacobi forms of several variables when the Hermitian symmetric domain is a Siegel upper half space. [ Fulltext-pdf (175 KB)] for subscribers only. |