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On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Conversano, Annalisa Pillay, Anand |
| Copyright Year | 2011 |
| Abstract | 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 the Lie algebra of G corresponds to a unique ind-definable semisimple subgroup of G. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www1.maths.leeds.ac.uk/~pillay/levi-nov7-2011.pdf |
| Alternate Webpage(s) | http://www3.nd.edu/~apillay/pdf/preprints/levi-nov7-2011.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Decision problem Fuzzy subalgebra Improvised Nuclear Device Iterated function Maximal set Subgroup A Nepoviruses |
| Content Type | Text |
| Resource Type | Article |
