Conductors and newforms for non-supercuspidal representations of 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 with p∋= 2. The conductors and newforms for representations of G are defined by using a certain family of open compact subgroups of G. In this paper, we determine the conductors of non-supercuspidal representations of G, and give explicit newforms in induced representations for non-supercuspidal generic representations.

Original languageEnglish
Pages (from-to)91-111
Number of pages21
JournalJournal of the Ramanujan Mathematical Society
Volume28
Issue number1
Publication statusPublished - 2013
Externally publishedYes

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Conductor
Induced Representations
P-adic Fields
Unitary group
Subgroup
Family

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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