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The planar algebra associated to a Kac algebra |
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| Authors: | |
| Institution: | (1) The Institute of Mathematical Sciences, C.I.T. Campus, 600 113 Taramani, Chennai, India;(2) University of California, 94720 Berkeley, CA, USA |
| 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’. |
| Keywords: | Subfactor standard invariant planar algebra Hopf algebra Kac algebra |
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