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arXiv · 2105.14223

Theta correspondence for almost unramified representations of unitary groups

Yifeng Liu
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Abstract

In this note, we introduce the notion of almost unramified representations of quasi-split unitary groups of even ranks with respect to an unramified quadratic extension of local fields, and study their behavior under the local theta correspondence. These representations are in some sense the least ramified representations that have root number $-1$.

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Yifeng Liu. 2021-05-29. Theta correspondence for almost unramified representations of unitary groups. https://arxiv.org/abs/2105.14223

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