On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures

DOI10.4064/FM222-1-3zbMath1285.03037arXiv1111.2369OpenAlexW2964241471MaRDI QIDQ2839263

Annalisa Conversano, Anand Pillay

Publication date: 4 July 2013

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2369

zbMATH Keywords

o-minimalityLevi decompositionind-definable semisimple

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Model theory of ordered structures; o-minimality (03C64)

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A definability criterion for connected Lie groups ⋮ The derived subgroup of linear and simply-connected o-minimal groups ⋮ Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups ⋮ Linearity of groups definable in o-minimal structures ⋮ Real Lie groups and o-minimality

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