Topology change for fuzzy physics: Fuzzy spaces as Hopf algebras

International Journal of Modern Physics A

Volumn 19, Issue 20, 2004, Pages 3395-3407

  Balachandran, A P ^a   Kurkcuoglu S ^a  

^a SYRACUSE UNIVERSITY   (United States)

Author keywords

Fuzzy spaces; Hopf algebras; Quantum symmetries

Indexed keywords

ARTICLE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICS; QUANTITATIVE ANALYSIS; QUANTUM MECHANICS; QUANTUM THEORY; SURFACE PROPERTY;

EID: 13844255822     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X04019810     Document Type: Article

References (15)

1. M. E. Sweedler, Hopf Algebras (W. A. Benjamin, New York, 1969); A. A. Kirillov, Elements of the Theory of Representations (Springer-Verlag, Berlin, 1976).
2. M. E. Sweedler, Hopf Algebras (W. A. Benjamin, New York, 1969); A. A. Kirillov, Elements of the Theory of Representations (Springer-Verlag, Berlin, 1976).
3. G. Mack and V. Schomerus, Nucl. Phys. B370, 185 (1992); G. Mack and V. Schomerus, in New Symmetry Principles in Quantum Field Theory, eds. J. Frohlich et al. (Plenum Press, New York, 1992); G. Mack and V. Schomerus, Quantum symmetry for pedestrians, preprint, DESY-92-053.
4. G. Mack and V. Schomerus, Nucl. Phys. B370, 185 (1992); G. Mack and V. Schomerus, in New Symmetry Principles in Quantum Field Theory, eds. J. Frohlich et al. (Plenum Press, New York, 1992); G. Mack and V. Schomerus, Quantum symmetry for pedestrians, preprint, DESY-92-053.
5. G. Mack and V. Schomerus, Nucl. Phys. B370, 185 (1992); G. Mack and V. Schomerus, in New Symmetry Principles in Quantum Field Theory, eds. J. Frohlich et al. (Plenum Press, New York, 1992); G. Mack and V. Schomerus, Quantum symmetry for pedestrians, preprint, DESY-92-053.
6. R. Figari, R. Höegh-Krohn and C. R. Nappi, Commun. Math. Phys. 44, 265 (1975).
7. J. Pawelczyk and H. Steinacker, Nucl. Phys. B638, 433 (2002).
8. A. P. Balachandran and C. G. Trahern, Lectures on Group Theory for Physicists, Monographs and Textbooks in Physical Science (Bibliopolis, Napoli, 1984).
9. A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Int. J. Mod. Phys. A15, 1629 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Nucl. Phys. B566, 441 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Mod. Phys. Lett. A16, 1335 (2001).
10. A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Int. J. Mod. Phys. A15, 1629 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Nucl. Phys. B566, 441 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Mod. Phys. Lett. A16, 1335 (2001).
11. A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Int. J. Mod. Phys. A15, 1629 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Nucl. Phys. B566, 441 (2000); A. P. Balachandran, E. Batista, I. P. Costa e Silva and P. Teotonio-Sobrinho, Mod. Phys. Lett. A16, 1335 (2001).
12. A. Voros, Phys. Rev. A40, 6814 (1989).
13. H. Grosse and P. Prešnajder, Lett. Math. Phys. 28, 239 (1993); P. Prešnajder, J. Math. Phys. 41, 2789 (2000).
14. H. Grosse and P. Prešnajder, Lett. Math. Phys. 28, 239 (1993); P. Prešnajder, J. Math. Phys. 41, 2789 (2000).
15. A. M. Perelomov, Generalized Coherent States and their Applications (Springer-Verlag, 1986).