Base change and theta correspondences for supercuspidal representations of SL(2)

Abstract

Let F be a p-adic field with p odd. Quadratic base change and theta-lifting are shown to be compatible for supercuspidal representations of SL(2,F). The argument involves the theory of types and the lattice model of the Weil representation.Comment: This is a revison of a previous version of the paper. Typos have been corrected and more details of the argument have been adde