37 citations · 69 across the 14 of their papers we have counts for
15 papers
On the geometry of quantum spheres and hyperboloids
Giovanni Landi, Chiara Pagani
We study two classes of quantum spheres and hyperboloids which are -quantum spaces for the quantum orthogonal group . We construct line bundles over the qu…
Atiyah sequences of braided Lie algebras and their splittings
Paolo Aschieri, Giovanni Landi, Chiara Pagani
Associated with an equivariant noncommutative principal bundle we give an Atiyah sequence of braided derivations whose splittings give connections on the bundle. Vertical braided d…
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…
The Gauge Group of a Noncommutative Principal Bundle and Twist Deformations
Paolo Aschieri, Giovanni Landi, Chiara Pagani
We study noncommutative principal bundles (Hopf-Galois extensions) in the context of coquasitriangular Hopf algebras and their monoidal category of comodule algebras. When the tota…
A class of differential quadratic algebras and their symmetries
Giovanni Landi, Chiara Pagani
We study a multi-parametric family of quadratic algebras in four generators, which includes coordinate algebras of noncommutative four-planes and, as quotient algebras, noncommutat…