Nonarchimedean coalgebras and coadmissible modules.

DOI10.1134/S2070046614020022zbMath1317.16029arXiv1410.3731OpenAlexW2963439436MaRDI QIDQ2263134

Anton Lyubinin

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3731

zbMATH Keywords

\(p\)-adic representationscomodulestopological coalgebrascoadmissible modulesnon-Archimedean Banach coalgebras

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Analysis on (p)-adic Lie groups (22E35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Coalgebras and comodules; corings (16T15)

Related Items (1)

Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras

Cites Work

• Topological coalgebras
• Homological coalgebra
• Algebras of \(p\)-adic distributions and admissible representations
• The universal dual comodule of module in Hopf algebras.
• Banach space representations and Iwasawa theory
• Representative subalgebra of a complete ultrametric Hopf algebra
• 𝑈(𝔤)-finite locally analytic representations
• Locally analytic distributions and 𝑝-adic representation theory, with applications to 𝐺𝐿₂
• On reducibility of ultrametric almost periodic linear representations
• Quantum p-adic spaces and quantum p-adic groups
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