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arXiv · 1909.12137

Hurwitz Orbits with a Cellular Automaton

Naqeeb ur Rehman
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Abstract

Hurwitz orbits are the orbits of the braid group action on the powers of a rack. Hurwitz orbits for the action of the braid group on three strands are used in \cite{21} and \cite{22} for the classification of Nichols algebras. This classification is based on a combinatorial invariant called plague on the Hurwitz orbits. The method to calculate plagues on the Hurwitz orbits is formulated in \cite{22} by using a cellular automaton on the Hurwitz orbits and their quotients. By using this cellular automaton-based method we estimate the minimal plagues on the Hurwitz orbits.

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Naqeeb ur Rehman. 2019-09-25. Hurwitz Orbits with a Cellular Automaton. https://arxiv.org/abs/1909.12137

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