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Subject Areas
Architecture and Design
Arts
Asian and Pacific Studies
Business and Economics
Chemistry
Classical and Ancient Near Eastern Studies
Computer Sciences
Cultural Studies
Engineering
General Interest
Geosciences
History
Industrial Chemistry
Islamic and Middle Eastern Studies
Jewish Studies
Law
Library and Information Science, Book Studies
Life Sciences
Linguistics and Semiotics
Literary Studies
Materials Sciences
Mathematics
Medicine
Music
Pharmacy
Philosophy
Physics
Social Sciences
Sports and Recreation
Theology and Religion
Every smooth p-adic Lie group admits a compatible analytic structure
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 (SCk+1) ultrametric p-adic Banach-Lie group, which is an SC1-diffeomorphism and admits Taylor expansions of all finite orders ≤ k.
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