The graphic nature of the symmetric group
Number Theory
2013-08-08 v2 Group Theory
Representation Theory
Abstract
We investigate a remarkable class of exponential sums which are derived from the symmetric groups and which display a diverse array of visually appealing features. Our interest in these expressions stems not only from their astounding visual properties, but also from the fact that they represent a novel and intriguing class of supercharacters.
Cite
@article{arxiv.1305.4913,
title = {The graphic nature of the symmetric group},
author = {J. L. Brumbaugh and Madeleine Bulkow and Luis Alberto Garcia and Stephan Ramon Garcia and Matt Michal and Andrew P. Turner},
journal= {arXiv preprint arXiv:1305.4913},
year = {2013}
}
Comments
23 pages, many figures. To appear in Experimental Mathematics