Propagator on the h-deformed Lobachevsky plane

Journal of Physics A: Mathematical and General

Volumn 33, Issue 2, 2000, Pages 327-342

  Madore, J ^a,b   Steinacker, H ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^b UNIVERSITÉ PARIS SUD   (France)

^c UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034695299     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/2/309     Document Type: Article

References (19)

1. h (sl(2)): unified construction Preprint math/9807100
2. Aghamohammadi A 1993 The two-parametric extension of h deformation of GL(2) and the differential calculus on its quantum plane Mod. Phys. Lett. A 8 2607
3. g,h (2) Preprint q-alg/9705028
4. Cho S 1999 Quantum mechanics on the h-deformed quantum plane J. Phys. A: Math. Gen. 32 2091
5. Cho S, Madore J and Park K S 1998 Noncommutative geometry of the h-deformed quantum plane J. Phys. A: Math. Gen. 31 2639
6. Demidov E E, Manin Yu I, Mukhin E E and Zhdanovich D V 1990 Non-standard quantum deformations of GL(n) and constant solutions of the Yang-Baxter equation. Prog. Theor. Phys. Suppl. 102 203
7. Faddeev L D, Reshetikhin N Yu and Takhtajan L A 1987 Quantization of Lie groups and Lie algebras Algebra Anal. 1 178
8. Hebecker A, Schreckenberg S, Schwenk J and Wess J 1994 Representations of a q-deformed Heisenberg algebra Z. Phys. C 64 355
9. Kubo R 1988 Geometry, heat equation and path integrals on the Poincaré upper half-plane Prog. Theor. Phys. 79 217
10. Kulish P P and Lyakhovsky V D 1999 7th Coll. on Quantum Groups and Integrable (Systems, Prague, June 1998) Czech. J. Phys. to be published (Kulish P P and Lyakhovsky V D 1998 Classical and quantum duality in Jordanian quantizations Preprint math. QA/9807122)
11. Kulish P P and Lyakhovsky V D 1999 7th Coll. on Quantum Groups and Integrable (Systems, Prague, June 1998) Czech. J. Phys. to be published (Kulish P P and Lyakhovsky V D 1998 Classical and quantum duality in Jordanian quantizations Preprint math. QA/9807122)
12. Manin Yu I 1991 Topics in Noncommutative Geometry (Princeton, NJ: Princeton University Press)
13. Cho S, Hinterding R, Madore J and Steinacker H 1999 Finite field theory on noncommutative geometries Preprint hep-th/9903239
14. Majid S 1993 Beyond supersymmetry and quantum symmetry Quantum Groups, Integrable Statistical Models and Knot Theory ed M-L Ge and H J de Vega (Singapore: World Scientific) p 231
15. Majid S 1990 Quasitriangular Hopf algebras and Yang-Baxter equations Int. J. Mod. Phys. A 5 1
16. Ohn C 1992 A star-product on SL(2) and the corresponding nonstandard quantum U sl(2) Lett. Math. Phys. 25 85
17. q(N) Z. Phys. C 72 163
18. Terras A 1985 Harmonic Analysis on Symmetric Spaces and Applications vol I (Berlin: Springer)
19. Wess J and Zumino B 1990 Covariant differential calculus on the quantum hyperplane Nucl. Phys. Proc. Suppl. B 18 302