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As is well known, a class of-dimensional Kac-Paljutkin Hopf algebraswas introduced by Pansera. It is the generalization of the 8-dimensional Kac-Paljutkin Hopf algebra  H8 . In this paper, the classification of Yetter-Drinfeld modules overis given by Radford’s method of constructing Yetter-Drinfeld modules for a Hopf algebra. Furthermore, the tensor product of Yetter-Drinfeld modules overis established, and the Grothendieck ringis described explicitly by generators and relations. Communicated by Julia Plavnik

The Grothendieck ring of Yetter-Drinfeld modules over a class of 2 n 2 -dimensional Kac-Paljutkin Hopf algebras