Compositio Mathematica



Genuine Representations of the Metaplectic Group


JEFFREY ADAMS a1 and DAN BARBASCH a2
a1 University of Maryland, Department of Maryland, Department of Mathematics, College Park, MD 20742, U.S.A.
a2 Cornell University, Department of Mathematics, Ithaca N.Y. 14853, U.S.A.

Article author query
adams j   [Google Scholar] 
barbasch d   [Google Scholar] 
 

Abstract

This paper determines the [theta]–correspondence for the dual pairs (O(p, q), Sp(2n, R)) when p+q=2n+1. As a consequence, there is a natural bijection between genuine irreducible representations of the metaplectic group Mp(2n, R) and irreducible representations of SO(p, q) with p+q=2n+1.