Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-23T08:56:38.382Z Has data issue: false hasContentIssue false
  • English
  • Français

A Theta Lift for Spin7

Published online by Cambridge University Press:  04 December 2007

Nadya Gurevich
Nadya Gurevich
Affiliation:
Department of Mathematics, The Weizmann Institute of Science, Rehovoth 76100, Israel. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

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.

We establish an example of a functorial lift from generic cuspidal representations of a similitude group of the type A1×C2 to generic representations of Spin7. Our construction uses the theta correspondence associated to the dual pair of the type (A1×C2B3) inside E7. We also consider another theta correspondence associated to the dual pair of type (A1×C2A1×A1) in D6 and show that these two pairs fit into a tower and the standard properties of a tower of theta correspondences hold.

Keywords

functorial liftingminimal representationtheta lifting.
Type
Research Article
Information
Compositio Mathematica , Volume 136 , Issue 1 , March 2003 , pp. 25 - 59
Copyright
© 2003 Kluwer Academic Publishers