The planar algebra associated to a Kac algebra

The planar algebra associated to a Kac algebra

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 ‘r...

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Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2003-02, Vol.113 (1), p.15-51
Hauptverfasser: Kodiyalam, Vijay, Landau, Zeph, Sunder, V. S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
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Zusammenfassung: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’.
ISSN:0253-4142
0973-7685
DOI:10.1007/BF02829677