PBW Deformations of Smash Products Involving Hopf Algebra of Kac–Paljutkin Type

Let be the Kac–Paljutkin–type Hopf algebra of dimension 2 n 2 , A its graded Koszul Artin–Schelter regular ‐module algebra of Dimension 2, A ! the Koszul dual of A , and the braided‐opposite algebra of A . This paper describes (0, 1)‐degree PBW deformations of the smash product and those of under the condition that the Koszul dual A ! of A is also an ‐module algebra. Also, 0‐degree PBW deformations of are explored, where is the associated braided tensor product algebra.