The SL(1,D)-distinction problem

Published 13 May 2018 in math.RT | (1805.04846v1)

Abstract: We use the local theta correspondences between the quaternionic Hermitian groups and the quaternionic skew-Hermitian groups to understand the distinction problem for the symmetric pair SL(2,E)/SL(1,D), where E is a quadratic field extension of a nonarchimedean local field extension F and D is a 4-dimensional division quaternion algebra over F

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Hengfei Lu

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