论文标题

派生的Langlands IV:$ {\ Mathcal M} _ {c}(g)$ - 诱导表示的注释

Derived Langlands IV:Notes on ${\mathcal M}_{c}(G)$-induced representations

论文作者

Snaith, Victor

论文摘要

这是当前由专着和四篇论文组成的主题系列的第四部分。本文研究了适用于$ {\ Mathcal M} _ {c}(g)$ - 可允许的表示的Abelian类别的局部P-ADIC LIE GROUPS G的形式。以我的非专家方式,我证明了Jacquet定理在此类别中的类似物。最后一部分包括与本系列过程中介绍的此概念以及其他概念相关的观察和问题。

This is Part IV of a thematic series currently consisting of a monograph and four essays. This essay examines the form of induced representations of locally p-adic Lie groups G which is appropriate for the abelian category of ${\mathcal M}_{c}(G)$-admissible representations. In my non-expert manner, I prove the analogue of Jacquet's Theorem in this category. The final section consists of observations and questions related to this and other concepts introduced in the course of this series.

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