Invariants, Kronecker Products, and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)
Combinatorics
2008-10-02 v1 Representation Theory
Abstract
This work lies across three areas (in the title) of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link consists of a single formal power series with a multifaced interpretation. The deeper exploration of this link yielded results as well as methods for solving some numerical problems in each of these separate areas.
Cite
@article{arxiv.0810.0060,
title = {Invariants, Kronecker Products, and Combinatorics of Some Remarkable Diophantine Systems (Extended Version)},
author = {Adriano Garsia and Gregg Musiker and Nolan Wallach and Guoce Xin},
journal= {arXiv preprint arXiv:0810.0060},
year = {2008}
}
Comments
33 pages, 5 figures