Journal of the Ramanujan Mathematical Society

Volume 28, Issue 1, March 2013 pp. 91--111.

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

Authors: Michitaka Miyauchi
Author institution: Faculty of Liberal Arts and Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan

Summary: Let G be the unramified unitary group in three variables defined over a p-adic field with p ≠ 2. 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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