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Research Article Open access CC BY 4.0

The Smooth Representations of the p-adic Compact Group U(1)

Manouchehr Misaghian

Journal of Advances in Mathematics and Computer Science · pp. 24–29 · Published 17 Dec 2014

10.9734/BJMCS/2015/5743

Abstract

In this article, we parametrize all smooth representations of the Unitary group in one variable. We will use the locally compact properties of the local fields to exhaust all representations of this group.

Unitary group Smooth representation Character local Field.

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