Maximal Levi Subgroups Acting on the Building of GL_n(F)
Group Theory
2008-11-11 v1
Abstract
In this paper we give a complete invariant of the action of GL_n(F)\times GL_m(F) acting on the Euclidean building B[GL_n(F)], where F is a non-archimedian field. We then use this invariant to give a natural metric on the resulting quotient space. In the special case of the torus acting on B[GL_2(F)] this gives a method of calculating of any vertex to any fixed apartment.
Cite
@article{arxiv.0811.1551,
title = {Maximal Levi Subgroups Acting on the Building of GL_n(F)},
author = {Jonathan Needleman},
journal= {arXiv preprint arXiv:0811.1551},
year = {2008}
}