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- W1569767411 abstract "Let $$G$$ be a real semisimple Lie group with finite center, with a finite number of connected components and without compact factor. We are interested in the homogeneous space of Cartan subgroups of $$G$$ , which can be also seen as the space of maximal flats of the symmetric space of $$G$$ . We define its Chabauty compactification as the closure in the space of closed subgroups of $$G$$ , endowed with the Chabauty topology. We show that when the real rank of $$G$$ is 1, or when $$G={text{ SL}}_3(mathbb{R })$$ or $${text{ SL}}_4(mathbb{R })$$ , this compactification is the set of all closed connected abelian subgroups of dimension the real rank of $$G$$ , with real spectrum. And in the case of $${text{ SL}}_3(mathbb{R })$$ , we study its topology more closely and we show that it is simply connected." @default.
- W1569767411 created "2016-06-24" @default.
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- W1569767411 date "2012-11-27" @default.
- W1569767411 modified "2023-10-13" @default.
- W1569767411 title "Compactification de Chabauty de l’espace des sous-groupes de Cartan de $${text{ SL}}_n(mathbb{R })$$" @default.
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- W1569767411 doi "https://doi.org/10.1007/s00209-012-1086-9" @default.
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