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Every smooth p-adic Lie group admits a compatible analytic structure
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Helge Glöckner
Published/Copyright:
May 12, 2006
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.
Received: 2004-02-29
Published Online: 2006-05-12
Published in Print: 2006-01-26
© Walter de Gruyter
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Articles in the same Issue
- Linear independence of L-functions
- Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
- Every smooth p-adic Lie group admits a compatible analytic structure
- Mixed modules of finite torsion-free rank over a discrete valuation domain
- On generalized smooth groups
- E-locally cyclic abelian groups and maximal near-rings of mappings
- A note on Fourier coefficients of cusp forms on GLn
- Non-proper affine actions of the holonomy group of a punctured torus
- The linearisation map in algebraic K-theory
- The homotopy type of BG2Λ for some small matrix groups G
