The planar algebra of a semisimple and cosemisimple Hopf algebra
Abstract
Description
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.
16 pages, 20 figures; content added
16 pages, 20 figures; content added