A criterion of reducibility for a parallelohedron
Metric Geometry
2013-06-05 v2
Abstract
A parallelohedron is called reducible, if it can be represented as a direct product of two parallelohedra of lower dimension. In his Ph.D. thesis (2005) the first author proved a criterion of reducibility of a parallelohedron in terms of the Venkov graph. In December 2011 the second author presented a slightly revised version of the original proof at the seminar "Discrete Geometry and Geometry of Numbers" (Moscow State University). The present paper follows that talk.
Cite
@article{arxiv.1305.5345,
title = {A criterion of reducibility for a parallelohedron},
author = {Andrei Ordine and Alexander Magazinov},
journal= {arXiv preprint arXiv:1305.5345},
year = {2013}
}
Comments
12 pages, Russian text, Russian and English abstract