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Descents of unipotent cuspidal representations of finite classical groups

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Abstract

Inspired by the Gan–Gross–Prasad conjecture and the descent problem for classical groups, in this paper we study the descents of unipotent cuspidal representations of orthogonal and symplectic groups over finite fields.

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Acknowledgements

We thank the anonymous referee for raising numerous comments which improve the exposition of this paper.

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  1. School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, Zhejiang, People’s Republic of China

    Dongwen Liu & Zhicheng Wang

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  1. Dongwen Liu
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  2. Zhicheng Wang
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Correspondence to Dongwen Liu.

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Liu, D., Wang, Z. Descents of unipotent cuspidal representations of finite classical groups. manuscripta math. 165, 159–189 (2021). https://doi.org/10.1007/s00229-020-01211-4

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