35 citations · 54 across the 10 of their papers we have counts for
8 papers · 1 filter
Split Kac-Moody groups over a local field, II. Ordered masures
Guy Rousseau
For a split Kac-Moody group (in J. Tits' definition) over a field endowed with a real valuation, we build an ordered affine hovel on which the group acts. This construction general…
Twin masures associated with Kac-Moody groups over Laurent polynomials
Nicole Bardy-Panse, Auguste Hebert, Guy Rousseau
Let be a split reductive group, be a field and be an indeterminate. In order to study and $\math…
On structure constants of Iwahori-Hecke algebras for Kac-Moody groups
Nicole Bardy-Panse, Guy Rousseau
We consider the Iwahori-Hecke algebra associated to an almost split Kac-Moody group (affine or not) over a nonarchimedean local field . It has a canonical double-coset basis…
The cone topology on masures
Corina Ciobotaru, Bernhard Mühlherr, Guy Rousseau +1
Masures are generalizations of Bruhat--Tits buildings and the main examples are associated with almost split Kac--Moody groups G over non-Archimedean local fields. In this case, G…
Strongly transitive actions on affine ordered hovels
Corina Ciobotaru, Guy Rousseau
A hovel is a generalization of the Bruhat-Tits building that is associated to an almost split Kac-Moody group G over a non-Archimedean local field. In particular, G acts strongly t…
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…
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…
Masures affines
Guy Rousseau
We give an abstract definition of affine hovels which generalizes the definition of affine buildings (eventually non simplicial) given by Jacques Tits and includes the hovels built…