45 citations · 139 across the 19 of their papers we have counts for
4 papers · 1 filter
On the Hopf (co)center of a Hopf algebra
Alexandru Chirvasitu, Paweł Kasprzak
The notion of Hopf center and Hopf cocenter of a Hopf algebra is investigated by the extension theory of Hopf algebras. We prove that each of them yields an exact sequence of Hopf…
Open quantum subgroups of locally compact quantum groups
Mehrdad Kalantar, Paweł Kasprzak, Adam Skalski
The notion of an open quantum subgroup of a locally compact quantum group is introduced and given several equivalent characterizations in terms of group-like projections, inclusion…
The canonical central exact sequence for locally compact quantum groups
Paweł Kasprzak, Adam Skalski, Piotr M. Sołtan
For a locally compact quantum group we define its center, , and its quantum group of inner automorphisms, . We show…
Quantum families of quantum group homomorphisms
Mariusz Budziński, Paweł Kasprzak
The notion of a quantum family of maps has been introduced in the framework of C*-algebras. As in the classical case, one may consider a quantum family of maps preserving additiona…