105 citations · 745 across the 79 of their papers we have counts for
15 papers · 1 filter
q-Deformed quaternions and su(2) instantons
Gaetano Fiore
We have recently introduced the notion of a q-quaternion bialgebra and shown its strict link with the SO_q(4)-covariant quantum Euclidean space R_q^4. Adopting the available differ…
On the hermiticity of q-differential operators and forms on the quantum Euclidean spaces R_q^N
Gaetano Fiore
We show that the complicated *-structure characterizing for positive q the U_qso(N)-covariant differential calculus on the non-commutative manifold R_q^N boils down to similarity t…
Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras
Gaetano Fiore
We briefly review and illustrate our procedure to 'decouple' by transformation of generators: either a Hopf algebra from a -module algebra in their cross-product $A_1…
Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups
Gaetano Fiore
We briefly report on our result that, if there exists a realization of a Hopf algebra in a -module algebra , then their cross-product is equal to the product of itsel…
On the Decoupling of the Homogeneous and Inhomogeneous Parts in Inhomogeneous Quantum Groups
Gaetano Fiore
We show that, if there exists a realization of a Hopf algebra in a -module algebra , then one can split their cross-product into the tensor product algebra of itself…
Decoupling Braided Tensor Factors
Gaetano Fiore, Harold Steinacker, Julius Wess
We briefly report on our result that the braided tensor product algebra of two module algebras of a quasitriangular Hopf algebra is equal to the ordinary tensor produ…