The Generalized Glu\v skov-Iwasawa Local Splitting Theorem

J. Math. Sci. Univ. Tokyo
Vol. 17 (2010), No. 1, Page 123--133.

Michael, A. A. George
The Generalized Glu\v skov-Iwasawa Local Splitting Theorem
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Abstract:
In this paper we obtain an extension of Glu\v skov-Iwasawa local splitting theorem for locally compact groups as the product of a compact group and a local Lie group, to inverse limits of finite dimensional Lie groups.

Keywords: Glu\v skov-Iwasawa local splitting theorem, inverse limit of finite dimensional Lie groups, nilpotent radical of a Lie algebra.

Mathematics Subject Classification (2000): Primary 22A05.
Received: 2009-10-23