70 citations · 240 across the 17 of their papers we have counts for
6 papers · 1 filter
Braid group representations from a deformation of the harmonic oscillator algebra
Marco Tarlini
We describe a new technique to obtain representations of the braid group B_n from the R-matrix of a quantum deformed algebra of the one dimensional harmonic oscillator. We consider…
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…
Noncommutative Instantons on the 4-Sphere from Quantum Groups
F. Bonechi, N. Ciccoli, M. Tarlini
We describe an approach to the noncommutative instantons on the 4-sphere based on quantum group theory. We quantize the Hopf bundle S^7 --> S^4 making use of the concept of quantum…
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…
Projective representation of k-Galilei group
C. Gonera, P. Kosinski, P. Maslanka +1
The projective representations of k-Galilei group G_k are found by contracting the relevant representations of k-Poincare group. The projective multiplier is found. It is shown tha…