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An elementary proof of a non-triviality of the E₈ subfactor planar algebra

Kenta Okazaki

Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

https://doi.org/10.1142/S0129167X15500378Cited by:0 (Source: Crossref)

Abstract

In this paper, we show in a combinatorial way that the 0-box space of the E₈ subfactor planar algebra is 1-dimensional. In the proof, we improve on Bigelow's relations for the E₈ subfactor planar algebra and give an efficient algorithm to reduce any planar diagram to the empty diagram.

Keywords:

AMSC: 46L37, 57M15

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