Solid locally analytic representations of 𝑝-adic Lie groups

DOI10.1090/ert/615OpenAlexW3210526856WikidataQ115291002 ScholiaQ115291002MaRDI QIDQ5106074

Joaquín Rodrigues Jacinto, Juan Esteban Rodríguez Camargo

Publication date: 16 September 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11916

zbMATH Keywords

locally analytic representations\(p\)-adic Lie groupscondensed mathematics

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Continuous cohomology of Lie groups (22E41)

Cites Work

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• Cohomology of topological groups and solvmanifolds
• Algebras of \(p\)-adic distributions and admissible representations
• Banach space representations and Iwasawa theory
• On an analytic version of Lazard's isomorphism
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
• The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• \(p\)-adic analytic groups
• Faisceaux amples sur les schémas en groupes et les espaces homogènes
• 𝑈(𝔤)-finite locally analytic representations
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• Some complements to the Lazard isomorphism
• The cohomology of locally analytic representations
• A comparison of locally analytic group cohomology and Lie algebra cohomology for p-adic Lie groups
• On locally analytic vectors of the completed cohomology of modular curves
• The Pontrjagin Duality Theorem in Linear Spaces
• Analytic vectors in continuousp-adic representations
• Sur la cohomologie continue des groupes localement compacts
• Duality for admissible locally analytic representations
• Locally analytic vectors in representations of locally 𝑝-adic analytic groups