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Howe duality and dichotomy for exceptional theta correspondences

Published 31 Jan 2021 in math.RT and math.NT | (2102.00372v1)

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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Authors (2)

  1. Wee Teck Gan 
  2. Gordan Savin 

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