1. College of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
Abstract:
We construct the Grothendieck rings of a class of dimensional semisimple Hopf Algebras ,which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra .All irreducible -modules are classified. Furthermore, we describe the Grothendieck rings by generators and relations explicitly.