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’.
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Kodiyalam, V., Landau, Z. & Sunder, V.S. The planar algebra associated to a Kac algebra. Proc. Indian Acad. Sci. (Math. Sci.) 113, 15–51 (2003). https://doi.org/10.1007/BF02829677
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DOI: https://doi.org/10.1007/BF02829677