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Iwasawa's Local Splitting Theorem for Pro-Lie Groups
-
Karl H Hofmann
and
Sidney A Morris
Published/Copyright:
September 8, 2008
Abstract
If the nilradical 𝔫(𝔤) of the Lie algebra 𝔤 of a pro-Lie group G is finite dimensional modulo the center 𝔷(𝔤), then every identity neighborhood U of G contains a closed normal subgroup N such that G/N is a Lie group and G and N × G/N are locally isomorphic.
2000 Mathematics Subject Classification: 22E65, 17B65, 22A05; 22E15, 22E60, 22E25, 22D05.
Received: 2005-12-05
Accepted: 2006-11-16
Published Online: 2008-09-08
Published in Print: 2008-07-01
© Walter de Gruyter
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Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
