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    • The planar algebra of a semisimple and cosemisimple Hopf algebra

      Vijay Kodiyalam V S Sunder

      Operator Theory/Operator Algebras/Quantum Invariants Volume 116 Issue 4 November 2006 pp 443-458

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/116/04/0443-0458

    • 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

       
      Published
      November 2006

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