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arXiv · 2105.11529

Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations

Agustín Moreno Cañadas·Juan David Camacho·Isaías David Marín Gaviria
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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).

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Agustín Moreno Cañadas, Juan David Camacho, Isaías David Marín Gaviria. 2021-05-24. Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations. https://arxiv.org/abs/2105.11529

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