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ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF -ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma ( IF 1.2 ) Pub Date : 2020-01-13 , DOI: 10.1017/fms.2019.50 FLORIAN HERZIG , KAROL KOZIOŁ , MARIE-FRANCE VIGNÉRAS
Forum of Mathematics, Sigma ( IF 1.2 ) Pub Date : 2020-01-13 , DOI: 10.1017/fms.2019.50 FLORIAN HERZIG , KAROL KOZIOŁ , MARIE-FRANCE VIGNÉRAS
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 $C$ .
中文翻译:
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 .
更新日期:2020-01-13
中文翻译:
关于 -ADIC 还原基团的可容许超奇异表示的存在
假设