Journal of Advances in Mathematics and Computer Science

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

Manouchehr Misaghian *

Department of Mathematics, Prairie View A&M University, Prairie View, TX 77446, USA

*Author to whom correspondence should be addressed.

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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.

Keywords: Unitary group, Smooth representation, Character, local Field.

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