Modular categories and Hopf algebras

被引：5
|
作者：
Takeuchi, M [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan
来源：
JOURNAL OF ALGEBRA | 2001年 / 243卷 / 02期
关键词：
modular category; Hopf algebra; ribbon Hopf algebra; the Drinfeld map; weakly factorizable Hopf algebra;
D O I：
10.1006/jabr.2001.8856
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The modularity of a ribbon Hopf algebra is characterized by the Drinfeld map. An elementary approach to Etingof and Gelaki's (1998, Math. Res. Lett. 5, 119-197) result on the dimensions of irreducible modules is given by deducing the necessary identities involving the matrix (S-ij) from the well-known orthogonal relations of Hopf algebra characters. (C) 2001 Academic Press.
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页码：631 / 643
页数：13
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