Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn058, 15 pages, doi:10.1093/imrn/rnn058 published on June 10, 2008
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Gan, W. T.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Trilinear Forms and Triple Product Epsilon Factors

Wee Teck Gan

Mathematics Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA

Correspondence: Correspondence to be sent to: wgan{at}math.ucsd.edu

We give a short and simple proof of a theorem of Dipendra Prasad on the existence or nonexistence of invariant trilinear forms on a triple of irreducible representations of GL2(F) or Dx, where $F$ is a nonarchimedean local field of zero or odd characteristic and $D$ is the unique quaternion division F-algebra. The answer is controlled by the central value of the triple product epsilon factor. Our proof works uniformly for all representations and without restriction on residual characteristic. It also gives an analogous theorem for any separable cubic F-algebra.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.