Suppose that$\mathbf{G}$is a connected reductive group over a finite extension$F/\mathbb{Q}_{p}$and that$C$is a field of characteristic $p$. We prove that the group$\mathbf{G}(F)$admits an irreducible admissible supercuspidal, or equivalently supersingular, representation over $C$.

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关于 -ADIC 还原基团的可容许超奇异表示的存在

假设$\mathbf{G}$是一个有限扩展上的连通约简群$F/\mathbb{Q}_{p}$然后$加元是一个特征领域$p$. 我们证明群$\mathbf{G}(F)$在$加元.