On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures
نویسندگان
چکیده
منابع مشابه
On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures
We study analogues of the notions from Lie theory of Levi subgroup and Levi decomposition, in the case of groups G definable in an ominimal expansion of a real closed field. With suitable definitions, we prove that G has a unique maximal ind-definable semisimple subgroup S, up to conjugacy, and that G = R ·S where R is the solvable radical of G. We also prove that any semisimple subalgebra of t...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2013
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm222-1-3