62 citations · 391 across the 31 of their papers we have counts for
9 papers · 1 filter
Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces
Giuseppe Marmo, Patrizia Vitale, Alessandro Zampini
We equip a family of algebras whose noncommutativity is of Lie type with a derivation based differential calculus obtained, upon suitably using both inner and outer derivations, as…
A Hodge - De Rham Dirac operator on the quantum
Fabio Di Cosmo, Giuseppe Marmo, Juan Manuel Pérez-Pardo +1
We describe how it is possible to describe irreducible actions of the Hodge - de Rham Dirac operator upon the exterior algebra over the quantum spheres equipped wit…
Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres
Alessandro Zampini
Using non canonical braidings, we first introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left covariant 3d differential calculi over the quan…
Examples of Hodge Laplacians on quantum spheres
Alessandro Zampini
Using a non canonical braiding over the 3d left covariant calculus we present a family of Hodge operators on the quantum SU(2) and its homogeneous quantum two-sphere.
(A class of) Hodge duality operators over the quantum SU(2)
Alessandro Zampini
On the exterior algebra over the quantum SU(2) coming from the four dimensional bicovariant calculus à la Woronowicz we introduce, using sesquilinear contraction maps, a class of m…
Calculi, Hodge operators and Laplacians on a quantum Hopf fibration
Giovanni Landi, Alessandro Zampini
We describe Laplacian operators on the quantum group SUq (2) equipped with the four dimensional bicovariant differential calculus of Woronowicz as well as on the quantum homogeneou…