Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices
Remy, Bertrand ; Ronan, Mark
HAL, hal-00122582 / Harvested from HAL
Text on HAL
This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes tiled by right-angled polygons. We discuss linearity properties for the groups, as well as an analogy with semisimple groups over local fields of positive characteristic. Looking for counter-examples to this analogy leads to the construction of Moufang twinnings "with several ground fields".
Publié le : 2002-07-05
Classification:  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-00122582,
     author = {Remy, Bertrand and Ronan, Mark},
     title = {Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00122582}
}

Remy, Bertrand; Ronan, Mark. Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00122582/