Planar algebras associated to Latin squares are of subgroup-group-type

Author:

Kodiyalam Vijay,Murali Sruthy

Abstract

Latin squares naturally yield planar subalgebras of the spin planar algebra. We show that all of these are of subgroup-group-type.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Planar algebra of the subgroup-subfactor;Gupta, Ved Prakash;Proc. Indian Acad. Sci. Math. Sci.,2008

2. Vaughan F. R. Jones, Planar algebras, arXiv:math/9909027, 1999.

3. The classification of subfactors of index at most 5;Jones, Vaughan F. R.;Bull. Amer. Math. Soc. (N.S.),2014

4. On a presentation of the spin planar algebra;Kodiyalam, Vijay;Proc. Indian Acad. Sci. Math. Sci.,2019

5. Vijay Kodiyalam, Sruthy Murali, and V. S. Sunder, Planar algebras, quantum information theory and subfactors, arXiv1912.07228 [math.OA], 2019.

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