31 citations · 105 across the 9 of their papers we have counts for
9 papers
The quantization of the symplectic groupoid of the standard Podles sphere
F. Bonechi, N. Ciccoli, N. Staffolani +1
We give an explicit form of the symplectic groupoid that integrates the semiclassical standard Podles sphere. We show that Sheu's groupoid, whose convolution C*-algebra quantizes t…
On the integration of Poisson homogeneous spaces
F. Bonechi, N. Ciccoli, N. Staffolani +1
We study a reduction procedure for describing the symplectic groupoid of a Poisson homogeneous space obtained by quotient of a coisotropic subgroup. We perform it as a reduction of…
Poisson sigma model on the sphere
Francesco Bonechi, Maxim Zabzine
We evaluate the path integral of the Poisson sigma model on sphere and study the correlators of quantum observables. We argue that for the path integral to be well-defined the corr…
Bijectivity of the canonical map for the noncommutative instanton bundle
F. Bonechi, N. Ciccoli, L. Dabrowski +1
It is shown that the quantum instanton bundle introduced in Commun. Math. Phys. 226, 419-432 (2002) has a bijective canonical map and is, therefore, a coalgebra Galois extension.
Quantum even spheres Sigma_q^2n from Poisson double suspension
F. Bonechi, N. Ciccoli, M. Tarlini
We define even dimensional quantum spheres Sigma_q^2n that generalize to higher dimension the standard quantum two-sphere of Podle's and the four-sphere Sigma_q^4 obtained in the q…
Unitarity of induced representations from coisotropic quantum groups
F. Bonechi, N. Ciccoli, R. Giachetti +2
We study unitarity of the induced representations from coisotropic quantum subgroups which were introduced in math.QA/9804138. We define a real structure on coisotropic subgroups w…