Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields
Representation Theory
2017-11-15 v3 Group Theory
Abstract
In this paper, we prove some finiteness results about split Kac-Moody groups over local non-archimedean fields. Our results generalize those of "An affine Gindikin-Karpelevich formula" by Alexander Braverman, Howard Garland, David Kazhdan and Manish Patnaik. We do not require our groups to be affine. We use the hovel I associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group.
Keywords
Cite
@article{arxiv.1512.07556,
title = {Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields},
author = {Auguste Hébert},
journal= {arXiv preprint arXiv:1512.07556},
year = {2017}
}
Comments
International Mathematics Research Notices, Oxford University Press (OUP), 2017