Principal series representations of metaplectic groups over local fields

Abstract

Let G be a split reductive algebraic group over a non-archimedean local field. We study the representation theory of a central extension $\G$ of G by a cyclic group of order n, under some mild tameness assumptions on n. In particular, we focus our attention on the development of the theory of principal series representations for $\G$ and applications of this theory.

24 pages, section 3 rewritten