70 citations · 240 across the 17 of their papers we have counts for
17 papers
Nijenhuis tensor and invariant polynomials
Francesco Bonechi, Jian Qiu, Marco Tarlini +1
We discuss the diagonalization problem of the Nijenhuis tensor in a class of Poisson-Nijenhuis structures defined on compact hermitian symmetric spaces. We study its action on the…
Generalised Kähler Structure on and Elliptic Functions
Francesco Bonechi, Jian Qiu, Marco Tarlini
We construct a toric generalised Kähler structure on and show that the various structures such as the complex structure, metric etc are expressed in terms of certai…
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…
Complete integrability from Poisson-Nijenhuis structures on compact hermitian symmetric spaces
Francesco Bonechi, Jian Qiu, Marco Tarlini
We study a class of Poisson-Nijenhuis systems defined on compact hermitian symmetric spaces, where the Nijenhuis tensor is defined as the composition of Kirillov-Konstant-Souriau s…
Quantization of Poisson manifolds from the integrability of the modular function
F. Bonechi, N. Ciccoli, J. Qiu +1
We discuss a framework for quantizing a Poisson manifold via the quantization of its symplectic groupoid, that combines the tools of geometric quantization with the results of Rena…
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…
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…
Induced representations of the one dimensional quantum Galilei group
F. Bonechi, R. Giachetti, E. Sorace +1
We study the representations of the quantum Galilei group by a suitable generalization of the Kirillov method on spaces of non commutative functions. On these spaces we determine a…
Additional Degrees of Freedom in Skyrmion Motion
I. V. Musatov, V. A. Nikolaev, E. Sorace +2
We consider the quantization of chiral solitons with baryon number . Classical solitons are obtained within the framework of a variational approach. From the form of the solit…
Exponential mapping for non semisimple quantum groups
F. Bonechi, Enrico Celeghini, R. Giachetti +3
The concept of universal T matrix, recently introduced by Fronsdal and Galindo in the framework of quantum groups, is here discussed as a generalization of the exponential mapping.…
Italian workshop on quantum groups
Enrico Celeghini, M. Tarlini
The first ``Convegno Informale su Quantum Groups'' was held in Florence from February 3 to 6, 1993. This Convegno was conceived as an informal meeting to bring together all the ita…
The Quantum Deformed Dirac Equation from the k-Poincare` Algebra
Anatol Nowicki, Emanuele Sorace, Marco Tarlini
In this letter we derive a deformed Dirac equation invariant under the k-Poincare` quantum algebra. A peculiar feature is that the square of the k-Dirac operator is related to the…
Heisenberg XXZ Model and Quantum Galilei Group
F. Bonechi, E. Celeghini, R. Giachetti +2
The 1D Heisenberg spin chain with anisotropy of the XXZ type is analyzed in terms of the symmetry given by the quantum Galilei group Gamma_q(1). We show that the magnon excitations…