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Exceptional $\Theta$-Correspondences I

Published online by Cambridge University Press:  04 December 2007

K. MAGAARD  and
G. SAVIN
K. MAGAARD
Affiliation:
Department of Mathematics, Wayne State University, Detroit, MI 48202. e-mail address: kaym@math.wayne.edu
G. SAVIN
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112. e-mail address: savin@math.utah.edu.
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Abstract

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Let $G$ be either a split ${\rm SO}(2n+2)$, or a split adjoint group of type $E_n, (n=6,7,8)$, over a $p$-adic field. In this article we study correspondences arising by restricting the minimal representation of $G$ to various dual pairs in $G$.

Keywords

dual pairsminimal representations
Type
Research Article
Information
Compositio Mathematica , Volume 107 , Issue 1 , May 1997 , pp. 89 - 123
Copyright
© 1997 Kluwer Academic Publishers