The smallest representations of nonlinear covers of odd orthogonal groups

Abstract

We construct the smallest genuine representations of a nonlinear cover of the group SO0(p, q) where p + q is odd. We determine correspondences of infinitesimal characters arising from restricting the smallest representations to dual pairs so (p, a) ⊕ so (b) where a + b = q. © 2008 by The Johns Hopkins University Press.