On local newforms for unramified U(2,1)
Representation Theory
2011-06-29 v1 Number Theory
Abstract
Let G be the unramified unitary group in three variables defined over a p-adic field F of odd residual characteristic. In this paper, we investigate local newforms for irreducible admissible representations of G. We introduce a family of open compact subgroups {K_n} 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.
Cite
@article{arxiv.1105.6004,
title = {On local newforms for unramified U(2,1)},
author = {Michitaka Miyauchi},
journal= {arXiv preprint arXiv:1105.6004},
year = {2011}
}
Comments
16 pages