Remote Access Representation Theory
Green Open Access

Representation Theory

ISSN 1088-4165



Complement to the appendix of: “On the Howe duality conjecture”

Author: \fbox{Steve Rallis}
Journal: Represent. Theory 17 (2013), 176-179
MSC (2010): Primary 22E55
Published electronically: March 4, 2013
MathSciNet review: 3028189
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let ${\mathbb F}$ be a local field, nonarchimedean and of characteristic not 2. Let $(V,Q)$ be a nondegenerate quadratic space over ${\mathbb F}$, of dimension $n$. Let $M_r$ be the direct sum of $r$ copies of $V$. We prove that, for $r<n$ there is no nonzero distribution on $M_r$ which under the action of the orthogonal group transforms according to the character determinant.

References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 22E55

Retrieve articles in all journals with MSC (2010): 22E55

Additional Information

\fbox{Steve Rallis}
Affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210

Received by editor(s): November 8, 2011
Received by editor(s) in revised form: August 20, 2012, and October 2, 2012
Published electronically: March 4, 2013
Additional Notes: Sadly, the author passed away on April 17, 2012
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.