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arXiv · 2506.08696

What are the extended pure inner forms of a cover?

Luozi Shi·Yifei Zhao
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Abstract

Kottwitz suggested to study all extended pure inner forms together in the local Langlands correspondence for linear reductive groups. We extend this philosophy to a large class of covers, including those defined by Brylinski and Deligne, and explain its relation with Weissman's observation that L-packets for covers are sometimes empty.

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Luozi Shi, Yifei Zhao. 2025-06-10. What are the extended pure inner forms of a cover?. https://arxiv.org/abs/2506.08696

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