Planar algebras, cabling and the Drinfeld double

preprint2016arXivOpen access

Abstract

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

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