Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations
Representation Theory
2021-05-26 v1
Abstract
Mutations on Brauer configurations are introduced and associated with some suitable automata in order to solve generalizations of the Chicken McNugget problem. Besides, based on marked order polytopes a new class of diophantine equations called Gelfand-Tsetlin equations are also solved. The approach allows giving an algebraic description of the schedule of an AES key via some suitable non-deterministic finite automata (NFA).
Keywords
Cite
@article{arxiv.2105.11529,
title = {Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations},
author = {Agustín Moreno Cañadas and Juan David Camacho and Isaías David Marín Gaviria},
journal= {arXiv preprint arXiv:2105.11529},
year = {2021}
}