ON JONES' PLANAR ALGEBRAS

DOI10.1142/S021821650400310XzbMath1054.46045OpenAlexW2077920920WikidataQ56688911 ScholiaQ56688911MaRDI QIDQ4812679

Vijay Kodiyalam, V. S. Sunder

Publication date: 23 August 2004

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021821650400310x

zbMATH Keywords

generating setssubfactorsplanar tangles

Mathematics Subject Classification ID

Related Items (19)

A complete set of numerical invariants for a subfactor ⋮ Intermediate planar algebra revisited, II ⋮ The planar algebra of a semisimple and cosemisimple Hopf algebra ⋮ Intermediate planar algebra revisited ⋮ Ore's theorem on cyclic subfactor planar algebras and beyond ⋮ On a presentation of the spin planar algebra ⋮ Integrable models from singly generated planar algebras ⋮ SUBFACTORS AND 1+1-DIMENSIONAL TQFTs ⋮ A CYCLIC APPROACH TO THE ANNULAR TEMPERLEY–LIEB CATEGORY ⋮ Ore's theorem on subfactor planar algebras ⋮ Planar algebras, quantum information theory and subfactors ⋮ On the Guionnet-Jones-Shlyakhtenko construction for graphs ⋮ The embedding theorem for finite depth subfactor planar algebras ⋮ Euler totient of subfactor planar algebras ⋮ Planar algebra of the subgroup-subfactor ⋮ Quantum double inclusions associated to a family of Kac algebra subfactors ⋮ From a Kac algebra subfactor to Drinfeld double ⋮ FROM SUBFACTOR PLANAR ALGEBRAS TO SUBFACTORS ⋮ Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras

Cites Work

• State models and the Jones polynomial
• Three-manifolds and the Temperley-Lieb algebra
• Calculations with the Temperley-Lieb algebra
• The planar algebra associated to a Kac algebra
• Index for subfactors
• An axiomatization of the lattice of higher relative commutants of a subfactor

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