Relative Kazhdan property
Yves de Cornulier (2006)
Annales scientifiques de l'École Normale Supérieure
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Yves de Cornulier (2006)
Annales scientifiques de l'École Normale Supérieure
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Annalisa Conversano, Anand Pillay (2013)
Fundamenta Mathematicae
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We study analogues of the notions from Lie theory of Levi subgroup and Levi decomposition, in the case of groups G definable in an o-minimal expansion of a real closed field. With a rather strong definition of ind-definable semisimple subgroup, 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...
Ronald L. Lipsman (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Adrian Vasiu (2005)
Open Mathematics
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We include short and elementary proofs of two theorems that characterize reductive group schemes over a discrete valuation ring, in a slightly more general context.
Jean Fresnel, Marius van der Put (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Jörg Winkelmann (1998)
Mémoires de la Société Mathématique de France
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R. W. Richardson (1979)
Compositio Mathematica
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N. Th. Varopoulos (1995)
Annales de l'I.H.P. Probabilités et statistiques
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