论文标题

在与theta表示相关的波前集

On the wavefront sets associated with theta representations

论文作者

Gao, Fan, Tsai, Wan-Yu

论文摘要

我们研究了与$ p $ - addic领域覆盖组的Theta表示相关的波前集中最大元素的猜想公式。特别是,这表明该公式与各个群体家庭的文献中现有作品一致。我们还概括了阿基米德案中类似公式的结果,该案例激发了$ p $ - adic环境中的猜想公式。

We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over $p$-adic fields. In particular, it is shown that the formula agrees with the existing work in the literature for various families of groups. We also recapitulate the results of an analogous formula in the archimedean case, which motivated the conjectural formula in the $p$-adic setting.

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