Planar algebras, cabling and the Drinfeld double

  • Sandipan De

    Indian Statistical Institute, Bangalore, India
  • Vijay Kodiyalam

    The Institute of Mathematical Sciences, Chennai, India and Homi Bhabha National Institute, Mumbai, India

Abstract

We produce an explicit embedding of the planar algebra of the Drinfeld double of a finite-dimensional, semisimple and cosemisimple Hopf algebra into the two-cabling of the planar algebra of the dual Hopf algebra .

Cite this article

Sandipan De, Vijay Kodiyalam, Planar algebras, cabling and the Drinfeld double. Quantum Topol. 9 (2018), no. 1, pp. 141–165

DOI 10.4171/QT/105