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arXiv · 1802.07514

On some properties of the functors ${\mathcal F}^G_P$ from Lie algebra to locally analytic representations

Sascha Orlik
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Abstract

For a split reductive group $G$ over a finite extension $L$ of ${\mathbb Q}_p$, and a parabolic subgroup $P \subset G$ we examine functorial properties of the functors ${\mathcal F}^G_P$ introduced in \cite{OS2}. We discuss the aspects of faithfulness, projective and injective objects, Ext-groups and some kind of adjunction formulas.

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BibTeXRIS

Sascha Orlik. 2018-02-21. On some properties of the functors ${\mathcal F}^G_P$ from Lie algebra to locally analytic representations. https://arxiv.org/abs/1802.07514

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