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

preprint2020arXivOpen access

Abstract

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 Mc(G){\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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