Rules of Three for commutation relations
Rings and Algebras
2016-12-06 v2 Combinatorics
Abstract
We investigate the following surprisingly widespread phenomenon which we call The Rule of Three: in order for a particular kind of commutation relation to hold for subsequences of elements of a ring labeled by any subset of indices, it is enough that these relations hold for subsets of size one, two, and three.
Cite
@article{arxiv.1608.05042,
title = {Rules of Three for commutation relations},
author = {Jonah Blasiak and Sergey Fomin},
journal= {arXiv preprint arXiv:1608.05042},
year = {2016}
}
Comments
23 pages, 5 figures. Version 2: minor changes, final version to appear in Journal of Algebra