On local newforms for unramified U(2,1)

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.

16 pages

Cited by in corpus (3)

• On epsilon factors attached to supercuspidal representations of unramified U(2,1)
• Conductors and newforms for non-supercuspidal representations of unramified U(2,1)
• On L-factors attached to generic representations of unramified U(2,1)