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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