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.
On L-factors attached to generic representations of unramified U(2,1)
Representations of unramified U(2,2) over a p-adic field I: representations of non-integral level
Patterns in Branching Rules for Irreducible Representations of SL_2(k), for k a p-adic field
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