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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/113/01/0015-0051

    • Keywords

       

      Subfactor; standard invariant; planar algebra; Hopf algebra; Kac algebra

    • Abstract

       

      We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘rotation on 2-boxes’.

    • Author Affiliations

       

      Vijay Kodiyalam1 Zeph Landau2 V S Sunder1

      1. The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai - 600 113, India
      2. University of California, Berkeley, CA - 94720, USA

    • Dates

       
      Published
      February 2003
      Manuscript received
      13 November 2001
      Manuscript revised
      15 June 2002

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