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arXiv · 1408.5742

Morita's Duality for Split Reductive Groups

Zhi Qi
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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 $\mathrm {G}$ over a $p$-adic field $F$ as well as a duality between certain sub-representations of these two representations.

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BibTeXRIS

Zhi Qi. 2014-11-23. Morita's Duality for Split Reductive Groups. https://doi.org/10.1016/j.jnt.2012.01.017

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