An elementary proof of a non-triviality of the E8subfactor planar algebra

DOI10.1142/S0129167X15500378zbMath1334.46044OpenAlexW1995587973MaRDI QIDQ5252626

Kenta Okazaki

Publication date: 2 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15500378

zbMATH Keywords

subfactorplanar graphplanar algebraKuperberg program

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Subfactors and their classification (46L37)

Cites Work

• The state sum invariant of 3-manifolds constructed from the \(E_{6}\) linear skein
• Skein theory for the \(ADE\) planar algebras
• Skein theory for the \(D_{2n}\) planar algebras
• Application of fusion rules to classification of subfactors
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• On flatness of the Coxeter graph \(E_ 8\)
• On flatness of Ocneanu's connections of the Dynkin diagrams and classification of subfactors
• Extensions of rings of operators on Hilbert spaces

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