• The planar algebra of a semisimple and cosemisimple Hopf algebra

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    • Keywords


      Planar algebras over general fields; semisimple and cosemisimple Hopf algebras

    • Abstract


      To a semisimple and cosemisimple Hopf algebra over an algebraically closed field, we associate a planar algebra defined by generators and relations and show that it is a connected, irreducible, spherical, non-degenerate planar algebra with non-zero modulus and of depth two. This association is shown to yield a bijection between (the isomorphism classes, on both sides, of) such objects.

    • Author Affiliations


      Vijay Kodiyalam1 V S Sunder1

      1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai - 600 113, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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