Date of Award

5-1-2020

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Ban, Dubravka

Abstract

Parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. We study the parabolic induction for p-adic Banach space representation of p-adic groups. In this dissertation, using the Schneider-Teitelbaum duality, we consider the corresponding Iwasawa modules. We present the dual of parabolically induced representation in terms of the tensor product.

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