35 citations · 54 across the 10 of their papers we have counts for
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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.RA2012
Spherical Hecke algebras for Kac-Moody groups over local fields
Stéphane Gaussent, Guy Rousseau
We define the spherical Hecke algebra H for an almost split Kac-Moody group G over a local non-archimedean field. We use the hovel I associated to this situation, which is the anal…