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ON THE FIRST OCCURRENCE OF CUSPIDAL REPRESENTATIONS OF SYMPLECTIC GROUPS
Published online by Cambridge University Press: 03 November 2005
Abstract
We study the first occurrence of a cuspidal representation $\pi$ of $\mathrm{Sp}_{2n}(\mathbb{A})$ in the tower of split orthogonal groups under symplectic-orthogonal theta lift. We give upper and lower bounds for the first occurrence in terms of the wave front of $\pi$. Besides we describe a class of small cuspidal representations whose first occurrence is the maximal possible.
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 5 , Issue 1 , January 2006 , pp. 35 - 52
- Copyright
- 2005 Cambridge University Press
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