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VOL. 46 | 2017 The generator conjecture for $3^G$ subfactor planar algebras
Zhengwei Liu, David Penneys

Editor(s) Scott Morrison, David Penneys


We state a conjecture for the formulas of the depth 4 low-weight rotational eigenvectors and their corresponding eigenvalues for the $3^G$ subfactor planar algebras. We prove the conjecture in the case when $|G|$ is odd. To do so, we find an action of $G$ on the reduced subfactor planar algebra at $f^(2)$, which is obtained from shading the planar algebra of the even half. We also show that this reduced subfactor planar algebra is a Yang-Baxter planar algebra.


Published: 1 January 2017
First available in Project Euclid: 21 February 2017

zbMATH: 06990157
MathSciNet: MR3635674

Rights: Copyright © 2017, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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