The Planar Algebra Associated to a Kac Algebra

[摘要] 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'.

[学科分类] 数学（综合）

[关键词] Subfactor;standard invariant;planar algebra;Hopf algebra;Kac algebra.