45 citations · 139 across the 19 of their papers we have counts for
4 papers · 1 filter
Generalized (co)integrals on coideal subalgebras
Paweł Kasprzak
Given a a Hopf algebra , its left coideal subalgebra and a non-zero multiplicative functional on , we define the space of left -integrals . We obse…
Integrals in left coideal subalgebras and group-like projections
Alexandru Chirvasitu, Pawel Kasprzak, Piotr Szulim
We develop a theory of right group-like projections in Hopf algebras linking them with the theory of left coideal subalgebras with two sided counital integrals. Every right group-l…
Fundamental isomorphism theorems for quantum groups
Alexandru Chirvasitu, Souleiman Omar Hoche, Paweł Kasprzak
The lattice of subgroups of a group is the subject of numerous results revolving around the central theme of decomposing the group into "chunks" (subquotients) that can then be com…
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…