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ArticleOriginal scientific text

Title

One-parameter subgroups and the B-C-H formula

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an ℝ-group its group multiplication is described by the B-C-H formula in terms of the associated Lie algebra.

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Studia Mathematica
1994/111/2
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Pages:
163-185
Main language of publication
English
Received
1993-04-04
Accepted
1993-12-14
Published
1994
Exact and natural sciences