A Class of Coquasitriangular Hopf Group Algebras

Abstract

This article is devoted to constructing a class of coquasitriangular Hopf group algebras. First, we introduce the notion of group unified product. Then we prove the classification theorem for group unified products and discuss the sufficient and necessary conditions to make the group unified product to be a coquasitriangular Hopf group-algebra. Finally, some applications of the main results are considered.

Key Words:

• Coquasitriangular structure
• Hopf group-algebra
• Unified product

2010 Mathematics Subject Classification:

• 16T05

ACKNOWLEDGMENTS

The authors would like to thank the referee for his/her valuable comments on this article.

Notes

Communicated by E. Puczylowski.