The planar algebra associated to a Kac algebra

被引：27
作者：
Kodiyalam, V
Landau, Z
Sunder, VS
机构：
[1] Inst Math Sci, Madras 600113, Tamil Nadu, India
[2] Univ Calif Berkeley, Berkeley, CA 94720 USA
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2003年 / 113卷 / 01期
关键词：
subfactor; standard invariant; planar algebra; Hopf algebra; Kac algebra;
D O I：
10.1007/BF02829677
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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'.
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页码：15 / 51
页数：37
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