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An Action of the Symplectic Modular Group

Published online by Cambridge University Press:  22 January 2016

Louis Solomon
Louis Solomon*
Affiliation:
The Rockefeller Institute, New York 21, N.Y
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1. Let V be a free Z-module of rank 2n. Let G=Sp(2n, Z) be the symplectic modular group and let Φ be the non-singular alternating bilinear form on V left invariant by G. Let p ∊ Z be a prime and let X be the set of all endomorphisms ξ of V such that

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 1 , February 1966 , pp. 65 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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[4] Weber, H., Über die Transformationstheorie der Thetafunktionen, insbesondere derer von drei Veränderlichen, Annali di mat., Ser. 2, 9 (1879), 126–166.CrossRefGoogle Scholar