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Every smooth p-adic Lie group admits a compatible analytic structure

Identifieur interne : 000B72 ( Main/Exploration ); précédent : 000B71; suivant : 000B73

Every smooth p-adic Lie group admits a compatible analytic structure

Auteurs : Helge Glöckner [Allemagne]

Source :

RBID : ISTEX:EB7ACE4E2DB2FA4B4FAA604203AB9422734122E1

English descriptors

Abstract

We show that every finite-dimensional p-adic Lie group of class Ck (where k ∈ ℕ ∪ {∞}) admits a Ck -compatible analytic Lie group structure. We also construct an exponential map for every k + 1 times strictly differentiable (SC k+1) ultrametric p-adic Banach-Lie group, which is an SC 1-diffeomorphism and admits Taylor expansions of all finite orders ≤ k.

Url:
DOI: 10.1515/FORUM.2006.003


Affiliations:


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Le document en format XML

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<div type="abstract" xml:lang="en">We show that every finite-dimensional p-adic Lie group of class Ck (where k ∈ ℕ ∪ {∞}) admits a Ck -compatible analytic Lie group structure. We also construct an exponential map for every k + 1 times strictly differentiable (SC k+1) ultrametric p-adic Banach-Lie group, which is an SC 1-diffeomorphism and admits Taylor expansions of all finite orders ≤ k.</div>
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