International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 72, Pages 4539-4545
doi:10.1155/S016117120320908X
On the Steenrod operations in cyclic cohomology
Mohamed Elhamdadi1
and Yasien Gh. Gouda2
1Department of Mathematics, University of South Florida, Tampa 33620, FL, USA
2Department of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt
Abstract
For a commutative Hopf algebra A over ℤ/p, where p is a prime integer, we define the Steenrod operations pi in cyclic cohomology of A using a tensor product of a free resolution of the symmetric group Sn and the standard resolution of the algebra A over the cyclic category according to Loday (1992). We also compute some of these operations.