398 citations
- Université de LorraineFR874 papers
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Showing 2012 · math.GRShow all
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math.GR2012
Kac-Moody Lie algebras graded by Kac-Moody root systems
Hechmi Ben Messaoud, Guy Rousseau
We look to gradations of Kac-Moody Lie algebras by Kac-Moody root systems with finite dimensional weight spaces. We extend, to general Kac-Moody Lie algebras, the notion of C-admis…
math.GR2012
Almost split Kac-Moody groups over ultrametric fields
Guy Rousseau
For a split Kac-Moody group G over an ultrametric field K, S. Gaussent and the author defined an ordered affine hovel on which the group acts; it generalizes the Bruhat-Tits buildi…
math.GR2012★ 6 cited
The projective geometry of a group
Wolfgang Bertram
We show that the pair given by the power set and by the "Grassmannian"(set of all subgroups) of an arbitrary group behaves very much like the pair given by a projective space and i…