Hurwitz Orbits with a Cellular Automaton
Group Theory
2019-09-27 v1 Cellular Automata and Lattice Gases
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.
Keywords
Cite
@article{arxiv.1909.12137,
title = {Hurwitz Orbits with a Cellular Automaton},
author = {Naqeeb ur Rehman},
journal= {arXiv preprint arXiv:1909.12137},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1212.4330 by other authors