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The planar algebra of a semisimple and cosemisimple Hopf algebra

Vijay Kodiyalam·V. S. Sunder
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Abstract

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.

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BibTeXRIS

Vijay Kodiyalam, V. S. Sunder. 2005-06-20. The planar algebra of a semisimple and cosemisimple Hopf algebra. https://arxiv.org/abs/math/0506153

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