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arXiv · 1705.07145

Duality for spherical representations in exceptional theta correspondences

Hung Yean Loke·Gordan Savin
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Abstract

We study the exceptional theta correspondence for real groups obtained by restricting the minimal representation of the split exceptional group of the type E_n, to a split dual pair where one member is the exceptional group of the type G_2. We prove that the correspondence gives a bijection between spherical representations if n=6,7, and a slightly weaker statement if n=8.

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Hung Yean Loke, Gordan Savin. 2017-05-19. Duality for spherical representations in exceptional theta correspondences. https://arxiv.org/abs/1705.07145

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