Cyclic cohomology and Hopf algebras

被引：61

作者：

Connes, A

Moscovici, H

机构：

[1] Coll France, F-75005 Paris, France

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 48卷 / 01期

基金：

美国国家科学基金会;

关键词：

cyclic cohomology; Hopf algebras;

D O I：

10.1023/A:1007527510226

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We associate canonically a cyclic module to any Hopf algebra endowed with a modular pair in involution, consisting of a group-like element and a character. This provides the key construction for allowing the extension of cyclic cohomology to Hopf algebras in the nonunimodular case and, further, to developing a theory of characteristic classes for actions of Hopf algebras compatible not only with traces but also with the modular theory of weights. This applies to both ribbon and coribbon algebras as well as to quantum groups and their duals.

引用

页码：97 / 108

页数：12

共 9 条

[1] Hopf algebras, cyclic cohomology and the transverse index theorem [J].