On local newforms for unramified U(2, 1)

M. Miyauchi

doi:10.1007/s00229-012-0566-x

On local newforms for unramified U(2, 1)

M. Miyauchi

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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 {K_n}_n≥0 of G to define the local newforms for representations of G as the K_n-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 language	English
Pages (from-to)	149-169
Number of pages	21
Journal	Manuscripta Mathematica
Volume	141
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-012-0566-x
Publication status	Published - Jan 1 2013
Externally published	Yes

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ASJC Scopus subject areas

Mathematics(all)

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Miyauchi, M. (2013). On local newforms for unramified U(2, 1). Manuscripta Mathematica, 141(1-2), 149-169. https://doi.org/10.1007/s00229-012-0566-x

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10.1007/s00229-012-0566-x