Fundamental domains for properly discontinuous affine groups
Group Theory
2016-05-13 v2
Abstract
We construct a fundamental region for the action on the -dimensional affine space of some free, discrete, properly discontinuous groups of affine transformations preserving a quadratic form of signature , where is any odd positive integer.
Keywords
Cite
@article{arxiv.1303.3766,
title = {Fundamental domains for properly discontinuous affine groups},
author = {Ilia Smilga},
journal= {arXiv preprint arXiv:1303.3766},
year = {2016}
}
Comments
This is the version published in Geometriae Dedicata. It incorporates the corrections suggested by the reviewer. Most of these are minor, except for one: I replaced the term 'Lagrangian' (which, given the context, was not quite proper) by 'MTIS' (short for 'maximal totally isotropic subspace')