Publications

Some of them are vailable through the arXiv (or through editor's website if you have a subscription). Feel free to ask me a copy of any publication which is not in there.

  1. Ciccoli N. and Giachetti R., The Euclidean quantum algebra at roots of unity, Lett. Math. Phys. 34, 37-48 (1995).
  2. Bonechi F., Ciccoli N., Giachetti R., Sorace E. and Tarlini  M., Free q-Schroedinger equation from quantum homogeneous spaces of the 2-dim Euclidean quantum group, Comm. Math. Phys.175, 161-176 (1996).
  3. Ciccoli N., Quantum planes and quantum cylinders from Poisson homogeneous spaces, J. Phys. A: Math. Gen. 29, 1487-1495 (1996).
  4. Ciccoli N.,  Quantization of coisotropic subgroups, Lett. Math. Phys. 42, 23-38 (1997).
  5. Ciccoli N., Poisson and quantum homogeneous spaces, Seminari di Geometria dell'Universitā di Bologna 1997/98, Pitagora, ed. Coen S., 1998.
  6. Ciccoli N., Induction of quantum group representations, Journ. Geom. Phys. 31, 96-110 (1999).
  7. Ciccoli N., Koelink H. T. and Koornwinder T. H.,  q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations, Meth. Appl. Anal. 6, 109--127 (1999).
  8. Bonechi F., Ciccoli N., Giachetti R., Sorace E. and Tarlini M., Unitarity of induced representations from coisotropic quantum subgroups, Lett. Math. Phys. 49, 17--31 (1999).
  9. Bonechi F., Ciccoli N., Giachetti R., Sorace E. and Tarlini M., The coisotropic subgroup structure of quantum SL(2,R), Journ. Geom. Phys. 37, 190--200 (2001).
  10. Ciccoli N. and Guerra L., Orbits of lagrangian subalgebras in the double sl(2;R), Geom. Ded. 88, 35--46 (2001).
  11. Ciccoli N., Nambu--Lie group actions, Acta Math. Univ. Comen. 70, 251--263 (2001).
  12. Bonechi F., Ciccoli N. and Tarlini M., Non commutative instantons on the 4--sphere from quantum groups, Commun. Math. Phys. 226, 419--432 (2002).
  13. Cerquetelli T., Ciccoli N. and Nucci M.C.,  Fourth order ordinary differential equations and four  dimensional Lie algebra of symmetries,  Journ. Nonlin. Math. Phys.  9 suppl.  2, 23--35 (2002)
  14. Ciccoli N. and Guerra L., The variety of Lie bialgebras, J. Lie Theory, 13, 579--590 (2003).
  15. Bonechi F., Ciccoli N. and Tarlini M., Quantum even spheres  $\Sigma^{2n}_q$ from Poisson double suspension, Commun. Math. Phys. 234, 449--459 (2003).
  16. Bonechi F., Ciccoli N. and Tarlini M.,  Quantum 4--sphere: the infinitesimal approach, in Non commutative Geometry and Quantum Groups, W.Pusz and S. Woronowicz eds., Banach Center Publ. 61, Warszaw 2003.
  17. Bonechi F., Ciccoli N. and Tarlini M., Quantum even spheres  $\Sigma^{2n}_q$ from Poisson double suspension, Commun. Math. Phys. 234, 449--459 (2003).
  18. Bonechi F., Ciccoli N. and Tarlini M.,  Standard quantum spheres, in Clifford Algebras: Applications to Mathematics, Physics and Engineering, ed. by R. Ablamowicz, pp. 375--382, Progress in Mathematical Physics, Birkhauser (2004).
  19. Bonechi F., Ciccoli N., L. Dabrowski and Tarlini M.,  Bijectivity of the canonical map for the non commutative instanton bundle, Journ. Geom. Phys. 51, 71--81 (2004).
  20. Ciccoli N. and Gavarini F.,Quantum duality principle for coisotropic subgroups and quotients, Adv. Math.  199, 104--135 (2006).
  21. Ciccoli N. and Sheu A.J.--L., Covariant Poisson structures on complex Grassmannians, Comm. Anal. Geom. 14, 443-474 (2006).
  22. Ciccoli N. and Gavarini F., Quantum duality principle for coisotropic subgroups and Poisson quotients, in Contemporary Geometry and Related Topics - Belgrade 2005, Bokan et al. eds., 99-118, 2006. 
  23. Bonechi F., Ciccoli N., Staffolani N. and Tarlini M., On the integration of Poisson homogeneous spaces, Journ. Geom. Phys. 58, 1519-1529 (2008).
  24. Ciccoli N. Fioresi R. and Gavarini F., Quantization of projective homogeneous spaces and the duality principle, Journ. Non Comm. Geom.  2, 449--496 (2008).
  25. Martini S., Ciccoli N. and Nucci M. C., Group analysis and heir equations of a mathematical model for thin liquid films, Journ. Nonlin. Math. Phys.  16, 77--92 (2009).
  26. Ciccoli N., The modular class and its quantization: a minicourse, Univ. Iagel. Acta Math.  XLVII, 29--50 (2009).
  27. Ciccoli N.,  Poisson Ore extensions, Seminari di Geometria dell'Universit\`a di Bologna 2005--2009 (Coen ed.) 2011.
  28. Bonechi F., Ciccoli N., Staffolani N. and Tarlini M., The quantization of the symplectic groupoid of the standard Podles sphere,Journ. Geom. Phys. 62, 1851--1865 (2012).
  29.  Bonechi F., Ciccoli N., and Tarlini M., Symplectic groupoid quantization, Proceedings of the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity September 4-18, 2011 Corfu, Greece: Proceedings of Science 060 - Corfu 2011.
  30.  Bonechi F., Ciccoli N. and Tarlini M., The modular class as a quantization invariant: a case study, Proceedings of the 7th Conference on Mathematical Methods in Physics, Londrinha (Brazil), at press.
  31.  Bonechi F., Ciccoli N., Qiu J. and Tarlini M.,  Quantization of Poisson manifolds from the integrability of the modular function, Comm. Math. Phys. at press.
  32. Ciccoli N. and Gavarini F., Global quantum duality principle for coisotropic subgroups and Poisson quotients, Documenta Math. accepted for publication.
  33. Ciccoli N., Fantappič's final relativity and Lie algebra deformations, submitted:  arxive: 1211.0149.
  34. Ciccoli N., From Poisson to quantum geometry, book's chapter to be published by European Mathematical Society, P.M.Haja\'c ed.