Separable cowreaths in higher dimension

In this paper we present an infinite family of (h-)separable cowreaths with increasing dimension. Menini and Torrecillas proved in [19] that for A = C l ( α , β , γ ) , a four-dimensional Clifford algebra, and H = H 4 , Sweedler's Hopf algebra, the cowreath ( A ⊗ H o p , H , ψ ) is always (h-)separable. We show how to produce similar examples in higher dimension by considering a 2 n + 1 -dimensional Clifford algebra A = C l ( α , β i , γ i , λ i j ) and H = E ( n ) , a suitable pointed Hopf algebra that generalizes H 4 . We adopt the approach pursued in [18] , requiring that the separability element be of a simplified form, which in turn forces the defining scalars α , β i , γ i , λ i j to satisfy further conditions.