The Planar Algebra Associated to a Kac Algebra

Proceedings Mathematical Sciences

Vijay Kodiyalam³  Zeph Landau²  V S Sunder¹ 

[1] $$;University of California, Berkeley, CA 0, USA$$;The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 00 , India$$

关键词: Subfactor;    standard invariant;    planar algebra;    Hopf algebra;    Kac algebra.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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'.

【 授权许可】

Unknown