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arXiv · 2112.06208

Quaternionic Speh representations

Yuanqing Cai
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Abstract

For a central division algebra $D$, we study a family of representations of $\mathrm{GL}_{k,D}$ (both locally and globally), which can be viewed as analogues of the Speh representations. Locally, we study unique models for these representations. Globally, we show that these representations support certain non-vanishing Fourier coefficients.

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Yuanqing Cai. 2021-12-12. Quaternionic Speh representations. https://arxiv.org/abs/2112.06208

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