On weak crossed products of weak Hopf algebras.
This paper extends to weak Hopf algebras [see \textit{G. Böhm} and \textit{K. Szlachányi}, Lett. Math. Phys. 38, No. 4, 437-456 (1996; Zbl 0872.16022)] the notion of cross product (with a given cocycle \(\sigma\)) of a Hopf algebra \(H\) with an algebra \(A\) which measures \(H\). Then it explores some properties of this weak cross product \(H\#_\sigma A\): conditions to be a weak algebra, for \(A\subset H\#_\sigma A\) to be a separable extension, finitistic dimension.
scientific article; zbMATH DE number 6175499
scientific article