Geodesic
Almost split Kac–Moody groups over ultrametric fields
Guy Rousseau1
1Université de Lorraine, France
Groups, geometry, and dynamics, Tome 11 (2017) no. 3, pp. 891-975

Voir la notice de l'article provenant de la source EMS Press

DOI

For a split Kac–Moody group G over an ultrametric field K, S. Gaussent and the author defined an ordered affine hovel (for short, a masure) on which the group acts; it generalizes the Bruhat–Tits building which corresponds to the case when G is reductive. This construction was generalized by C. Charignon to the almost split case when K is a local field. We explain here these constructions with more details and prove many new properties, e.g. that the hovel of an almost split Kac–Moody group is an ordered affine hovel, as defined in a previous article.
DOI : 10.4171/ggd/418
Classification : 20-XX, 17-XX, 22-XX, 51-XX
Mots-clés : Hovel, masure, building, Kac–Moody group, almost split, ultrametric local

Guy Rousseau  1

1 Université de Lorraine, France 
Guy Rousseau. Almost split Kac–Moody groups over ultrametric fields. Groups, geometry, and dynamics, Tome 11 (2017) no. 3, pp. 891-975. doi: 10.4171/ggd/418
@article{10_4171_ggd_418,
     author = {Guy Rousseau},
     title = {Almost split {Kac{\textendash}Moody} groups over ultrametric fields},
     journal = {Groups, geometry, and dynamics},
     pages = {891--975},
     year = {2017},
     volume = {11},
     number = {3},
     doi = {10.4171/ggd/418},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/418/}
}
TY  - JOUR
AU  - Guy Rousseau
TI  - Almost split Kac–Moody groups over ultrametric fields
JO  - Groups, geometry, and dynamics
PY  - 2017
SP  - 891
EP  - 975
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/418/
DO  - 10.4171/ggd/418
ID  - 10_4171_ggd_418
ER  - 
%0 Journal Article
%A Guy Rousseau
%T Almost split Kac–Moody groups over ultrametric fields
%J Groups, geometry, and dynamics
%D 2017
%P 891-975
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/418/
%R 10.4171/ggd/418
%F 10_4171_ggd_418

Cité par Sources :