Galois Groups and an Obstruction to Principal Graphs of Subfactors

@inproceedings{ASAEDA2007GaloisGA,
title={Galois Groups and an Obstruction to Principal Graphs of Subfactors},
author={MARTA ASAEDA},
year={2007}
}

MARTA ASAEDA

Published 2007

Abstract. The Galois group of the minimal polymonal of a Jones index value gives a new type of obstruction to a principal graph, thanks to a recent result of P.Etingof, D.Nikshych, and V.Ostrik. We show that the sequence of the graphs given by Haagerup as candidates of principal graphs of subfactors, are not realized as principal graphs for 7 < n ≤ 18 using GAP program. We further utilize Mathematica to extend the statement to 18 < n ≤ 63. We conjecture that none of the graphs are principal… CONTINUE READING