4 citations · 16 across the 16 of their papers we have counts for
6 papers · 1 filter
Hopf bimodules for bialgebroids
Sophie Chemla, Niels Kowalzig
Generalising a result for Hopf algebras, we not only define the four possible types of Hopf modules in the bialgebroid setting but also yield the notion of two-sided two-cosided Ho…
Takeuchi-Schneider equivalence and calculi for homogeneous spaces of Hopf algebroids
Niels Kowalzig, Thomas Weber
We develop a notion of covariant differential calculus for Hopf algebroids. As a byproduct, we prove analogues of the fundamental theorem of Hopf modules and a Takeuchi-Schneider e…
Centres, trace functors, and cyclic cohomology
Niels Kowalzig
We study the biclosedness of the monoidal categories of modules and comodules over a (left or right) Hopf algebroid, along with the bimodule category centres of the respective oppo…
Cyclic homology arising from adjunctions
Niels Kowalzig, Ulrich Kraehmer, Paul Slevin
Given a monad and a comonad, one obtains a distributive law between them from lifts of one through an adjunction for the other. In particular, this yields for any bialgebroid the Y…
Morita base change in Hopf-cyclic (co)homology
Laiachi El Kaoutit, Niels Kowalzig
In this paper, we establish the invariance of cyclic (co)homology of left Hopf algebroids under the change of Morita equivalent base algebras. The classical result on Morita invari…
Duality and products in algebraic (co)homology theories
Niels Kowalzig, Ulrich Kraehmer
The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a -Hopf algebra structure on the relevant universal enveloping algebr…