The planar algebra associated to a Kac algebra

Kodiyalam, Vijay ; Landau, Zeph ; Sunder, V. S. (2003) The planar algebra associated to a Kac algebra Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (1). pp. 15-51. ISSN 0253-4142

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We obtain (two equivalent) presentations-in terms of generators and relations-of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the 'rotation on 2-boxes'.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Subfactor; Standard Invariant; Planar Algebra; Hopf Algebra; Kac Algebra
ID Code:53546
Deposited On:09 Aug 2011 11:52
Last Modified:18 May 2016 06:37

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