15 citations · 46 across the 12 of their papers we have counts for
6 papers · 1 filter
Hopf algebroids and twists for quantum projective spaces
Ludwik Dabrowski, Giovanni Landi, Jacopo Zanchettin
We study the relationship between antipodes on a Hopf algebroid in the sense of Böhm-Szlachanyi and the group of twists that lies inside the associated convolution al…
Braided Hopf algebras and gauge transformations II: -structures and examples
Paolo Aschieri, Giovanni Landi, Chiara Pagani
We consider noncommutative principal bundles which are equivariant under a triangular Hopf algebra. We present explicit examples of infinite dimensional braided Lie and Hopf algebr…
Braided Hopf algebras and gauge transformations
Paolo Aschieri, Giovanni Landi, Chiara Pagani
We study infinitesimal gauge transformations of an equivariant noncommutative principal bundle as a braided Lie algebra of derivations. For this, we analyse general -braided Hop…
Levi-Civita connections on quantum spheres
Joakim Arnlind, Kwalombota Ilwale, Giovanni Landi
We introduce -deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with -deformed derivations. We show that such connection…
Hopf algebroids from noncommutative bundles
Xiao Han, Giovanni Landi, Yang Liu
We present two classes of examples of Hopf algebroids associated with noncommutative principal bundles. The first comes from deforming the principal bundle while leaving unchanged…
On irreducible representations of a class of quantum spheres
Francesco D'Andrea, Giovanni Landi
We study irreducible representations of a class of quantum spheres, quotients of quantum symplectic spheres.