The quantum 2-sphere as a complex quantum manifold

Zeitschrift fur Physik C-Particles and Fields

Volumn 70, Issue 2, 1996, Pages 339-344

  Chu, Chong Sun ^a   Ho, Pei Ming ^a   Zumino, Bruno ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000667493     PISSN: 01709739     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002880050111     Document Type: Article

References (14)

1. N.Yu. Reshetikhin, L. A. Takhtajan, L. D. Faddeev: Quantization of Lie Groups and Lie Algebras, Alg. i Anal. 1, 178 (1989)
2. O. Ogievetsky, B. Zumino: Reality in The Differential Calculus on q-Euclidean Spaces, Lett. Math. Phys. 25, 121 (1992)
3. P. Podleś: Quantum Spheres, Lett.Math.Phys. 14, 193 (1987)
4. P. Podleś: Differential Calculus on Quantum Spheres, Lett. Math. Phys. 18, 107 (1989)
5. P. Podleś: Differential Calculus on Quantum Spheres, RIMS Kokyuroku Series, No. 751, May (1991)
6. P. Podleś: The Classification of Differential Structures on Quantum 2-Spheres, Comm. Math. Phys. 150, 167 (1992)
7. A.J.-L. Sheu with J.-H. Lu, A. Weinstein: Quantization of Poisson SU(2) and the Two-Sphere, Comm. Math. Phys. 135, 217 (1991)
8. q(2), J. Math. Phys., 34, 1606 (1993)
9. T. Brzezinski, S. Majid: Quantum Group Gauge Theory on Quantum Spaces, Comm. Math. Phys. 157, 591 (1993).
10. S.L. Woronowicz: Compact Matrix Pseudogroups, Comm. Math. Phys. 111, 613 (1987)
11. S.L. Woronowicz: Twisted SU(2) Group. An Example of a Non-Commutative Differential Calculus, Publ.RIMS, Kyoto Univ. 23, 117 (1987)
12. S.L. Woronowicz: Differential Calculus on Compact Matrix Pseudogroups (Quantum Groups) , Comm. Math. Phys. 122, 125 (1989)
13. B. Zumino: Introduction to the Differential Geometry of Quantum Groups, In: K. Schmüdgen (Ed.), Math. Phys. X, Proc. X-th IAMP Conf. Leipzig (1991), Springer-Verlag (1992)
14. A. Connes: Non-Commutative Geometry, Academic Press (1994)