Kac-Moody Groups and Cosheaves on Davis Building
Representation Theory
2018-09-10 v4 Group Theory
Abstract
We investigate smooth representations of complete Kac-Moody groups. We approach representation theory via geometry, in particular, the group action on the Davis realisation of its Bruhat-Tits building. Our results include an estimate on projective dimension, localisation theorem, unimodularity and homological duality.
Keywords
Cite
@article{arxiv.1704.07880,
title = {Kac-Moody Groups and Cosheaves on Davis Building},
author = {Katerina Hristova and Dmitriy Rumynin},
journal= {arXiv preprint arXiv:1704.07880},
year = {2018}
}
Comments
28 pages. Version 3: some minor corrections, actions on simplicial sets are explained. Version 4: minor corrections