On local newforms for unramified U(2, 1)

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Abstract

Let G be the unramified unitary group in three variables defined over a p-adic field F with p ≠ 2. In this paper, we investigate local newforms for irreducible admissible representations of G. We introduce a family of open compact subgroups {Kn}n≥0 of G to define the local newforms for representations of G as the Kn-fixed vectors. We prove the existence of local newforms for generic representations and the multiplicity one property of the local newforms for admissible representations.

Original languageEnglish
Pages (from-to)149-169
Number of pages21
JournalManuscripta Mathematica
Volume141
Issue number1-2
DOIs
Publication statusPublished - 2013
Externally publishedYes

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P-adic Fields
Unitary group
Multiplicity
Subgroup
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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On local newforms for unramified U(2, 1). / Miyauchi, Michitaka.

In: Manuscripta Mathematica, Vol. 141, No. 1-2, 2013, p. 149-169.

Research output: Contribution to journalArticle

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