45 citations · 157 across the 20 of their papers we have counts for
11 papers · 1 filter
Twisted reality condition for Dirac operators
Tomasz Brzeziński, Nicola Ciccoli, Ludwik Dąbrowski +1
Motivated by examples obtained from conformal deformations of spectral triples and a spectral triple construction on quantum cones we propose a new twisted reality condition for th…
A global quantum duality principle for subgroups and homogeneous spaces
Nicola Ciccoli, Fabio Gavarini
For a complex or real algebraic group G, with g:=Lie(G), quantizations of global type are suitable Hopf algebras F_q[G] or U_q(g) over C[q,q^{-1}]. Any such quantization yields a s…
Quantization of Projective Homogeneous Spaces and Duality Principle
N. Ciccoli, R. Fioresi, F. Gavarini
We introduce a general recipe to construct quantum projective homogeneous spaces, with a particular interest for the examples of the quantum Grassmannians and the quantum generaliz…
Quantum duality principle for coisotropic subgroups and Poisson quotients
Nicola Ciccoli, Fabio Gavarini
We develop a quantum duality principle for coisotropic subgroups of a (formal) Poisson group and its dual: namely, starting from a quantum coisotropic subgroup (for a quantization…
A quantum duality principle for coisotropic subgroups and Poisson quotients
Nicola Ciccoli, Fabio Gavarini
We develop a quantum duality principle for coisotropic subgroups of a (formal) Poisson group and its dual. Namely, starting from a quantum coisotropic subgroup (for a quantization…
A quantum duality principle for subgroups and homogeneous spaces
Nicola Ciccoli, Fabio Gavarini
We develop a quantum duality principle for subgroups of a Poisson group and its dual, in two formulations. Namely, in the first one we provide functorial recipes to produce quantum…
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…
The coisotropic subgroup structure of SL_q(2,R)
F. Bonechi, N. Ciccoli, R. Giachetti +2
We study the coisotropic subgroup structure of standard SL_q(2,R) and the corresponding embeddable quantum homogeneous spaces. While the subgroups S^1 and R_+ survive undeformed in…
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…