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 language | English |
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Pages (from-to) | 149-169 |
Number of pages | 21 |
Journal | Manuscripta Mathematica |
Volume | 141 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Jan 1 2013 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)