My research interests are mainly in Algebra
and Geometry. I have worked in the Quantum Groups area, but currently I am
interested also in Deformation Quantization. I also am becoming interested in both
Invariant theory and Supergeometry. You will find below a list of my
publications. For those publications that already appeared in their final
version in a Journal I have posted the postscript and pdf
file. For the others you are
welcome to ask me for an updated version.
· L. Caston, R. Fioresi, Mathematical Foundations of Supersymmetry, preprint, 2007. pdf file
·
R. Fioresi, M. A. Lledo, V. S. Varadarajan, Superminkowski
and superconformal space-time, Journal of Mathematical Physics, 2007.
pdf file
·
R. Fioresi, M. A. Lledo, V. S. Varadarajan,
On the Deformation Quantization of affine algebraic varieties,
International Journal of Mathematics, 16, no. 4, 419-435,
2005.
pdf file
·
R. Fioresi, On the Dynamics of the Self-Gravitating Elipsoid and
its Deformation Quantization, 55, no. 2, 286-292, 2005.
pdf file
·
R. Fioresi,
Commutation relations among generic quantum
minors in Oq(Mn(k)),
Journal of Algebra, 280, no.
2, 655--682, 2004.
pdf file
·
R. Fioresi, M. A. Lledo, On algebraic supergroups
coadjoint orbits and their deformations ,
Communication in Mathematical Physics, pg. 177-200,
245, 2004.
pdf file
·
R. Fioresi, M. A. Lledo A review on deformation quantization
coadjoint orbits of semisimple Lie groups ,
Proceedings of the conference:
Rencontres de Matematiques de Glanon
math-QA0111132, 2001.
pdf file
·
R. Fioresi, C. Hacon On
infinite dimensional grassmannians and their quantum deformations
Rend. Sem. Mat. Univ. Padova, 111, 2004.
pdf file
·
R. Fioresi
On algebraic supergroups and quantum deformation,
Journal of Algebra and its applications,
2, no. 4, pg 403-423, 2003.
pdf file
·
M.Domokos, R. Fioresi, T. Lenagan Orbits for the coadjoint
action on quantum matrices, Journal of Geometry and Physics,
47, no. 4, pg 447-468, 2003.
pdf file
·
R. Fioresi, Supergroups, quantum supergroups and their
homogeneous spaces , Modern Physics Letters A, 16, no. 4-6,
269-274, 2001.
pdf file
·
R. Fioresi,
M. A. Lledo A comparison between star products on regular orbits of
semisimple Lie groups,
Journal of Physics A, no. 27, 5687-5699, 2001.
pdf file
·
R. Fioresi, A. Levrero,
M. A. Lledo, Algebraic and differential star products on regular orbits of
semisimple Lie groups,
Pacific Journal, 206, no. 2, 321-337, 2002.
pdf file
·
R. Fioresi, C. Hacon Quantum
Invariant Theory and quantum Schubert manifolds,
Journal of Algebra, 242, no. 2, 433-446, 2001.
pdf file
·
R. Fioresi, M. A. Lledo On
deformation quantization of coadjoint orbits of semisimple Lie groups,
Pacific Journal, 198, no. 2, 411-436, 2001.
pdf file
· A. Brown, R. Fioresi Lifts of quantum groups in prime characteristic Comm. in Alg., Vol. 27, n. 11, 1999. pdf file
·
R. Fioresi Quantum
deformation of the flag manifold Comm. in Alg., Vol. 27, n. 11, (1999). pdf file
·
R. Fioresi A quantum
deformation of the grassmannian manifold , Journal of Algebra,214, n. 2,
418-447, (1999).
pdf file
·
R. Fioresi Quantum
homogeneous projective varieties , PhD thesis, UCLA, (1997). Postscript
available upon request.
·
R. Fioresi A
deformation of the big cell inside the grassmannian manifold G(r,n) Rev.
Math. Phy.,11, 25-40, n. 1, (1999).
pdf file
·
R. Fioresi Quantum
flag manifolds and quantum conformal space time Rev. Math. Phy. Vol. 9, n.
4 (1997). pdf file
·
R. Borsari, R. Fioresi
and T. Trombetti Asymptotic Stability for Delayed Differential Systems with
nonnegative coupling in Reactor Dynamics Ann. nucl. Energy, Vol.19, No.
10-12, pp.629-638 (1992). Electronic version
not available.
·
R. Borsari, R. Fioresi
and T. Trombetti Nonnegativity of the Anisotropic Scattering Source in
Two-Angle (m,f) Transport Nucl. Sci. En. Vol.112, pp.301-320 (1992).
Electronic version not available.