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.

引用

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页码：631 / 643

页数：13

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