The planar algebra of a semisimple and cosemisimple Hopf algebra

Kodiyalam, Vijay ; Sunder, V. S. (2006) The planar algebra of a semisimple and cosemisimple Hopf algebra Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 116 (4). pp. 443-458. ISSN 0253-4142

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Official URL: http://ns1.ias.ac.in/mathsci/vol116/nov2006/OTQP-7...

Related URL: http://dx.doi.org/10.1007/BF02829702

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.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Planar Algebras Over General Fields; Semisimple and Cosemisimple Hopf Algebras
ID Code:53547
Deposited On:09 Aug 2011 11:52
Last Modified:18 May 2016 06:37

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