Zhi Qi
Published 2014-08-25Version 1
In this paper, we extend the work in "Morita's Theory for the Symplectic Groups" to split reductive groups. We construct and study the holomorphic discrete series representations and the principal series representations of a split reductive group $\mathrm {G}$ over a $p$-adic field $F$ as well as a duality between certain sub-representations of these two representations.
Comments: 27 pages
Journal: J. Number Theory 132 (2012), no. 8, 1664-1685
On extensions of principal series representations
On local character expansions for principal series representations of general linear groups
On the Jacquet functor of Symplectic groups
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