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arXiv · 2102.00372

Howe duality and dichotomy for exceptional theta correspondences

Wee Teck Gan·Gordan Savin
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Abstract

We study three exceptional theta correspondences for p-adic groups, where one member of the dual pair is the exceptional group G2. We prove the Howe duality conjecture for these dual pairs and a dichotomy theorem, and determine explicitly the theta lifts of all non-cuspidal representations.

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Wee Teck Gan, Gordan Savin. 2021-01-31. Howe duality and dichotomy for exceptional theta correspondences. https://arxiv.org/abs/2102.00372

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