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arxiv: 1603.07468 · v1 · pith:T6AUYL7Inew · submitted 2016-03-24 · 🧮 math.QA

Planar algebras, cabling and the Drinfeld double

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keywords algebraplanardoubledrinfeldhopfalgebrascablingcharacterise
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We produce an explicit embedding of the planar algebra of the Drinfeld double of a finite-dimensional, semisimple and cosemisimple Hopf algebra $H$ into the two-cabling of the planar algebra of the dual Hopf algebra $H^*$ and characterise the image.

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