Conductors and newforms for non-supercuspidal representations of unramified U(2,1)

Details Conductors and newforms for non-supercuspidal representations of unramified U(2,1) Conductors and newforms for non-supercuspidal representations of unramified U(2,1)

2011-12-21

arxiv.org/abs/1112.4899v1

Mathematics

Representation Theory

15 pages

Scientific paper

Let G be the unramified unitary group in three variables defined over a p-adic field with odd p. The conductors and newforms for representations of G are defined by using a certain family of open compact subgroups of G. In this paper, we determine the conductors of non-supercuspidal representations of G, and give explicit newforms in induced representations for non-supercuspidal generic representations.

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