Geodesic
Cleft extensions for a Hopf algebrakq[X,X−1, Y]
Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 147-160

Voir la notice de l'article provenant de la source Cambridge University Press

The concept of cleft extensions, or equivalently of crossed products, for a Hopf algebra is a generalization of Galois extensions with normal basis and of crossed products for a group. The study of these subjects was founded independently by Blattner-Cohen-Montgomery [1] and by Doi-Takeuchi [4]. In this paper, we determine the isomorphic classes of cleft extensions for a infinite dimensional non-commutative, non-cocommutative Hopf algebra kq[X, X–l, Y], which is generated by a group-like element X and a (1,X)-primitive element Y. We also consider the quotient algebras of the cleft extensions. 
Chen, Hui-Xiang. Cleft extensions for a Hopf algebrakq[X,X−1, Y]. Glasgow mathematical journal, Tome 40 (1998) no. 2, pp. 147-160. doi: 10.1017/S0017089500032468
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