Complete reducibility and commuting subgroups
نویسندگان
چکیده
منابع مشابه
Se p 20 06 COMPLETE REDUCIBILITY AND COMMUTING SUBGROUPS
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p ≥ 0. We study J.-P. Serre's notion of G-complete reducibility for subgroups of G. In particular, for a subgroup H and a normal subgroup N of H, we look at the relationship between G-complete reducibility of N and of H, and show that these properties are equivalent if H/N is linearly reductive, gen...
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Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p ≥ 0. We study J-P. Serre's notion of G-complete reducibility for subgroups of G. Specifically, for a subgroup H and a normal subgroup N of H, we look at the relationship between G-complete reducibility of N and of H, and show that these properties are equivalent if H/N is linearly reductive, gener...
متن کامل1 0 Ju l 2 00 7 COMPLETE REDUCIBILITY AND COMMUTING SUBGROUPS
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p ≥ 0. We study J-P. Serre's notion of G-complete reducibility for subgroups of G. Specifically, for a subgroup H and a normal subgroup N of H, we look at the relationship between G-complete reducibility of N and of H, and show that these properties are equivalent if H/N is linearly reductive, gener...
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In this article, we show two related results on circle diffeomorphisms. The first result is on quasi-reducibility: for a Baire-dense set of α, for any diffeomorphism f of rotation number α, it is possible to accumulate Rα with a sequence hn f h−1 n , hn being a diffeomorphism. The second result is: for a Baire-dense set of α, given two commuting diffeomorphisms f and g, such that f has α for ro...
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Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal centralizers have the same dimension. We study the interaction between the notion of separability and Serre’s concept of Gcomplete reducibility for subgroups of G. A separability hypothesis appears in many general th...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2008
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle.2008.063