222 research outputs found
The planar algebra of a semisimple and cosemisimple Hopf algebra
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.Comment: 16 pages, 20 figures; content adde
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