On local newforms for unramified U(2,1)

Details On local newforms for unramified U(2,1) On local newforms for unramified U(2,1)

2011-05-30

arxiv.org/abs/1105.6004v1

Mathematics

Representation Theory

16 pages

Scientific paper

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.

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