21 citations · 40 across the 6 of their papers we have counts for
6 papers
Finite Groups with Submultiplicative Spectra
L. Grunenfelder, T. Košir, M. Omladič +1
We study abstract finite groups with the property, called property , that all of their subrepresentations have submultiplicative spectra. Such groups are necessarily nilpo…
Pointed Hopf algebras as cocycle deformations
L. Grunenfelder, M. Mastnak
We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other…
Cohomological aspects of Hopf algebra liftings
L. Grunenfelder
A recent result of ours [GM] shows that all Hopf algebra liftings of a given diagram in the sense of Andruskiewitsch and Schneider are cocycle deformations of each other. Here we d…
Pointed and copointed Hopf algebras as cocycle deformations
L. Grunenfelder, M. Mastnak
We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other…
On Bimeasurings
L. Grunenfelder, M. Mastnak
We introduce and study bimeasurings from pairs of bialgebras to algebras. It is shown that the universal bimeasuring bialgebra construction, which arises from Sweedler's universal…
Cohomology of abelian matched pairs and the Kac sequence
L. Grunenfelder, M. Mastnak
The purpose of this paper is to introduce a cohomology theory for abelian matched pairs of Hopf algebras and to explore its relationship to Sweedler cohomology, to Singer cohomolog…