SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES

In this paper, we completely characterize solvable real Lie groups definable in o-minimal expansions of the real field.

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Bibliographic Details
Published inJournal of the Institute of Mathematics of Jussieu Vol. 17; no. 2; pp. 441 - 452
Main Authors Conversano, Annalisa, Onshuus, Alf, Starchenko, Sergei
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.04.2018
Subjects
Algebra
Lie groups
22E25
03C64
completely solvable torsion-free groups
o-minimal group cohomology
20J06
Lie algebras
Lie groups
definable groups
06F25
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Summary:In this paper, we completely characterize solvable real Lie groups definable in o-minimal expansions of the real field.
ISSN:1474-7480
1475-3030
DOI:10.1017/S1474748016000098