Compositio Mathematica

Genuine Representations of the Metaplectic Group

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] 


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.