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SOLVABLE LIE GROUPS DEFINABLE IN O-MINIMAL THEORIES

Part of: Connections with homological algebra and category theory Lie groups Model theory Ordered structures

Published online by Cambridge University Press:  28 April 2016

Annalisa Conversano ,
Alf Onshuus  and
Sergei Starchenko
Annalisa Conversano
Affiliation:
Massey University Albany, INMS, IIMS Building, Private Bag 102904, North Shore City 0745, New Zealand ([email protected])
Alf Onshuus
Affiliation:
Departamento de Matemáticas, Universidad de los Andes, Cra 1 No. 18A-10, Edificio H, Bogotá 111711, Colombia ([email protected])
Sergei Starchenko
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA ([email protected])
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Abstract

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

Keywords

definable groupscompletely solvable torsion-free groupso-minimal group cohomologyLie groupsLie algebras

MSC classification

Primary: 03C64: Model theory of ordered structures; o-minimality 20J06: Cohomology of groups 06F25: Ordered rings, algebras, modules 22E25: Nilpotent and solvable Lie groups
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 17 , Issue 2 , April 2018 , pp. 441 - 452
Copyright
© Cambridge University Press 2016 

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