35 citations · 54 across the 10 of their papers we have counts for
11 papers
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…
Macdonald's formula for Kac-Moody groups over local fields
Nicole Bardy-Panse, Stéphane Gaussent, Guy Rousseau
For an almost split Kac-Moody group G over a local non-archimedean field, the last two authors constructed a spherical Hecke algebra H (over the complex numbers C, say) and its Sat…
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…