Depth Zero Representations of Nonlinear Covers of p-adic Groups

2008/12/19 by Tatiana K. Howard, Howard, Tatiana K., Martin H. Weissman +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0812.3870

Abstract

We generalize the methods of Moy-Prasad, in order to define and study the genuine depth zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth zero supercuspidal representations of the metaplectic group Mp_2n over a p-adic field of odd residue characteristic.

Related

• On depth-zero characters of p-adic groups
• Local metaplectic correspondence and applications
• Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field
• Depth zero representations over ℤ[(1)/(p)]
• Bruhat-Tits buildings, representations of p-adic groups and Langlands correspondence