P-adic interpolation of metaplectic forms of cohomological type

Abstract

Let G be a reductive algebraic group over a number field k. It is shown how Emerton's methods may be applied to the problem of p-adically interpolating the metaplectic forms on G, i.e. the automorphic forms on metaplectic covers of G, as long as the metaplectic covers involved split at the infinite places of k.

37 pages

References in corpus (3)

• Algebras of p-adic distributions and admissible representations
• Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
• Emerton's Jacquet functors for non-Borel parabolic subgroups