Journal of the Ramanujan Mathematical Society
Volume 29, Issue 2, June 2014 pp. 201–219.
Discrete series of metaplectic groups having generic theta lifts
Authors:
Ivan Matic
Author institution:Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, Osijek, Croatia
Summary:
We prove that a discrete series representations of metaplectic
group over a non-archimedean local field has a generic theta lift
on the split odd orthogonal tower if and only if it is generic.
Also, we determine the first occurrence indices of such
representations and describe the structure of their theta lifts.
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