Morita's Duality for Split Reductive Groups
arXiv:1408.5742 · doi:10.1016/j.jnt.2012.01.017
Abstract
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 representation and the principal series representation of a split reductive group over a -adic field as well as a duality between certain sub-representations of these two representations.
23 pages