Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group

Let k be an algebraically closed field of characteristic zero, and D n be the dihedral group of order 2n, where n is a positive even integer. In this paper, we investigate Yetter-Drinfeld modules over the Hopf-Ore extension A(n, 0) of kD n . We describe the structures and properties of simple Yetter-Drinfeld modules over A(n, 0), and classify all simple Yetter-Drinfeld modules over A(n, 0)