A new cyclic module for Hopf algebras

被引:30
作者
Khalkhali, M [1 ]
Rangipour, B [1 ]
机构
[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
关键词
cyclic homology; Hopf algebras;
D O I
10.1023/A:1021193729183
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define a new cyclic module, dual to the Connes-Moscovici cocyclic module, for Hopf algebras, and give a characteristic map for coactions of Hopf algebras. We also compute the resulting cyclic homology for cocommutative Hopf algebras, and some quantum groups.
引用
收藏
页码:111 / 131
页数:21
相关论文
共 8 条
[1]   Cyclic cohomology and Hopf algebras [J].
Connes, A ;
Moscovici, H .
LETTERS IN MATHEMATICAL PHYSICS, 1999, 48 (01) :97-108
[2]   Cyclic cohomology and Hopf algebra symmetry [J].
Connes, A ;
Moscovici, H .
LETTERS IN MATHEMATICAL PHYSICS, 2000, 52 (01) :1-28
[3]   Hopf algebras, cyclic cohomology and the transverse index theorem [J].
Connes, A ;
Moscovici, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 198 (01) :199-246
[4]  
Connes A, 1985, Inst. Hautes Etudes Sci. Publ. Math., V62, P41, DOI 10.1007/BF02698807
[5]   Cyclic cohomology of Hopf algebras [J].
Crainic, M .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 166 (1-2) :29-66
[6]  
KAROUBI M, 1983, CR ACAD SCI I-MATH, V297, P381
[7]  
Masuda Tetsuya., 1990, K-Theory, V4, P157
[8]   Cyclic homology of Hopf algebras [J].
Taillefer, R .
K-THEORY, 2001, 24 (01) :69-85