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

Published 25 Jan 2011 in math.RT | (1101.4862v2)

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.

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