Quantum planes and quantum cylinders from Poisson homogeneous spaces

Journal of Physics A: Mathematical and General

Volumn 29, Issue 7, 1996, Pages 1487-1495

  Ciccoli, N ^a,b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344466020     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/7/018     Document Type: Article

References (19)

1. Ballesteros A, Celeghini E, Giachetti R, Sorace E and Tarlini M 1993 An R-matrix approach to the quantization of the Euclidean group E (2) J. Phys. A: Math. Gen. 26 7495
2. Bonechi F, Ciccoli N, Giachetti R, Sorace E and Tarlini M 1996 Free q-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group Commun. Math. Phys. at press
3. q (2) J. Math. Phys. 31 2548;
4. 1992 Contractions of Quantum Groups (Lecture Notes in Mathematics 221) (Berlin: Springer) p 1510
5. Ciccoli N 1995 Integer forms of nonsemisimple quantum groups Preprint
6. Ciccoli N and Giachetti R 1995 The Euclidean quantum algebra at roots of unity Lett. Math. Phys. 34 37
7. Dijkhuizen M S and Koornwinder T H 1994 Quantum homogeneous spaces, duality and quantum 2-spheres Geom. Ded. 52 291
8. Goodearl K R and Letzter E S 1994 Prime ideals in skew and q-skew polynomial rings Mem. Am. Math. Soc. 521
9. Jordan D A 1993 Iterated skew polynomial rings and quantum groups J. Alg. 156 194
10. Koelink H T 1994 The quantum group of plane motion and the Hahn-Exton q-Bessel function Duke Math. J. 76 483
11. q(2) group via direct quantization of the Lie-Poisson structure and its Lie algebra J. Math. Phys. 35 1976
12. Podleś P 1987 Quantum spheres Lett. Math. Phys. 14 193
13. Sheu A J L 1991 Quantization of the Poisson SU (2) and its Poisson homogeneous space, the 2-sphere Commun. Math. Phys. 135 217
14. Sheu A J L 1992 Quantum Poisson SU (2) and quantum Poisson spheres Contemp. Math. 134 247
15. Smith A P 1992 Quantum groups: an introduction and survey for ring theorists Noncommutative Rings (MSRI Publications) vol 24, ed S Montgomery and L W Small (Berlin: Springer) p 131
16. Vaksman L L and Korogodski L I 1989 An algebra of bounded functions on the quantum group of the motions of the plane and q-analogues of Bessel functions Sov. Math. Dokl. 39 173
17. Woronowicz S L 1991 Unbounded elements affiliated with C*-algebras and non compact quantum groups Commun. Math. Phys. 136 399;
18. 1992 Quantum SU (2) and E (2) groups: contraction procedure Commun. Math. Phys. 149 637
19. Zakrzewski S 1994 Poisson homogeneous spaces Proc. Karpacz Winter School on Theoretical Physics (1994) to appear; also Preprint hep-th 9412101