A Polish group without Lie sums

Lou Van Den Dries; Su Gao

doi:10.1007/s12188-009-0019-y

A Polish group without Lie sums

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a Polish group with an invariant metric in which Lie sums and Lie brackets do not exist. The construction of the group and the proof of the main theorem use some facts of combinatorial nature about the free group with two generators equipped with a Graev metric.

Original language	English (US)
Pages (from-to)	135-147
Number of pages	13
Journal	Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
Volume	79
Issue number	1
DOIs	https://doi.org/10.1007/s12188-009-0019-y
State	Published - Jun 2009

Keywords

Graev metric
Lie bracket
Lie sum
Polish group

ASJC Scopus subject areas

Mathematics(all)

Online availability

10.1007/s12188-009-0019-y

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title = "A Polish group without Lie sums",

abstract = "We construct a Polish group with an invariant metric in which Lie sums and Lie brackets do not exist. The construction of the group and the proof of the main theorem use some facts of combinatorial nature about the free group with two generators equipped with a Graev metric.",

keywords = "Graev metric, Lie bracket, Lie sum, Polish group",

author = "{Van Den Dries}, Lou and Su Gao",

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A Polish group without Lie sums

Abstract

Keywords

ASJC Scopus subject areas

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