Principal series representations of metaplectic groups over local fields

2009/11/11 by McNamara, Peter J.
#20G25 (Secondary) #22E50 (Primary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0911.2274

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.

Related

• Principal series representations of metaplectic groups
• On extensions of principal series representations
• Formal degree of principal series of quasi-split groups
• Two simple observations on representations of metaplectic groups
• Local metaplectic correspondence and applications