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

2018/02/21 by Sascha Orlik, Orlik, Sascha
Mathematics · #11S37 #17B15 #17B35 #20G05 #20G25 #22E35 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1802.07514

openalex publication_date 2018/02/21 · openalex created_date 2018/03/06 · openalex updated_date 2026/07/28

Abstract

For a split reductive group G over a finite extension L of \mathbb Q_p, and a parabolic subgroup P ⊂ G we examine functorial properties of the functors \mathcal F^G_P introduced in \citeOS2. We discuss the aspects of faithfulness, projective and injective objects, Ext-groups and some kind of adjunction formulas.

Related

• Category \mathcal O and locally analytic representations
• The Functors F^G_P over Local Fields of Positive Characteristic
• The functor \checkF^G_P at the level of K₀
• Towards the Derived Jacquet-Emerton Module Functor
• Covers of reductive groups and functoriality