Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-19T08:14:08.114Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[1] Artin, E., Geometric Algebra, Interscience, New York (1957).Google Scholar
[2] Hermite, C., Sur la théorie de la transformation des fonctions abéliennes, Comptes Rendus 40 (1855), 249–254.Google Scholar
[3] Krazer, A., Lehrbuch der Thetafunktionen, Teubner, Leipzig (1903).Google Scholar
[4] Weber, H., Über die Transformationstheorie der Thetafunktionen, insbesondere derer von drei Veränderlichen, Annali di mat., Ser. 2, 9 (1879), 126–166.CrossRefGoogle Scholar