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arXiv · 2104.08162

Theta liftings of non-generic representations on double covers of orthogonal groups

Yusheng Lei
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Abstract

We study the generalized theta lifting between the double covers of split special orthogonal groups, which uses the non-minimal theta representations constructed by Bump, Friedberg and Ginzburg. We focus on the theta liftings of non-generic representations and make a conjecture that gives an upper bound of the first non-zero occurrence of the liftings, depending only on the unipotent orbit. We prove both global and local results that support the conjecture.

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Yusheng Lei. 2021-04-16. Theta liftings of non-generic representations on double covers of orthogonal groups. https://arxiv.org/abs/2104.08162

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