Kac-Moody groups: split and relative theories. Lattices
Group Theory
2007-05-23 v1
Abstract
In this survey article, we recall some facts about split Kac-Moody groups as defined by J. Tits, describe their main properties and then propose an analogue of Borel-Tits theory for a non-split version of them. The main result is a Galois descent theorem, i.e. the persistence of a nice combinatorial structure after passing to rational points. We are also interested in the geometric point of view, namely the production of new buildings admitting (nonuniform) lattices.
Cite
@article{arxiv.math/0211258,
title = {Kac-Moody groups: split and relative theories. Lattices},
author = {Bertrand Remy},
journal= {arXiv preprint arXiv:math/0211258},
year = {2007}
}
Comments
45 pages, 9 figures