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 |
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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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