On local newforms for unramified U(2, 1)

Michitaka Miyauchi

Research output: Contribution to journal › Article

1 Citation (Scopus)

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

Fingerprint

P-adic Fields
Unitary group
Multiplicity
Subgroup
Family

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 journal › Article

Miyauchi, M 2013, 'On local newforms for unramified U(2, 1)', Manuscripta Mathematica, vol. 141, no. 1-2, pp. 149-169. https://doi.org/10.1007/s00229-012-0566-x
Miyauchi M. On local newforms for unramified U(2, 1). Manuscripta Mathematica. 2013;141(1-2):149-169. https://doi.org/10.1007/s00229-012-0566-x
Miyauchi, Michitaka. / On local newforms for unramified U(2, 1). In: Manuscripta Mathematica. 2013 ; Vol. 141, No. 1-2. pp. 149-169.
@article{af2db6a3ea4346b5a26a22bc69efb974,
title = "On local newforms for unramified U(2, 1)",
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.",
author = "Michitaka Miyauchi",
year = "2013",
doi = "10.1007/s00229-012-0566-x",
language = "English",
volume = "141",
pages = "149--169",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "1-2",

}

TY - JOUR

T1 - On local newforms for unramified U(2, 1)

AU - Miyauchi, Michitaka

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84876195240&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876195240&partnerID=8YFLogxK

U2 - 10.1007/s00229-012-0566-x

DO - 10.1007/s00229-012-0566-x

M3 - Article

AN - SCOPUS:84876195240

VL - 141

SP - 149

EP - 169

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 1-2

ER -

Access to Document