Towards a topological (dual of) quantum κ-Poincaré group

Reports on Mathematical Physics

Volumn 57, Issue 2, 2006, Pages 233-256

  Stachura, Piotr ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

Lorentz group action; quantum Poincar group

Indexed keywords

EID: 33745738087     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(06)80019-4     Document Type: Article

References (18)

1. G. Amelino-Camelia: Some encouraging and some cautionary remarks on doubly special relativity in quantum gravity, [arXiv: gr-gc/0402092].
2. J. Kowalski-Glikman: Introduction to doubly special relativity, [arXiv: hep-th/0405273], Lecture Notes in Physics, to appear.
3. [arXiv: hep-th/0012238]. Amelino-Camelia G. Testable scenario for relativity with minimum length. Phys. Lett. B 510 (2001) 255
4. [arXiv: gr-qc/0012051]. Amelino-Camelia G. Relativity in space-times with short-distance structure governed by an observer independent (Planckian) length scale. Int. J. Mod. Phys. D 11 (2002) 35
5. Lukierski J., Ruegg H., Nowicki A., and Tolstoi V.N. q-deformation of Poincaré algebra. Phys. Lett. B 264 (1991) 331
6. Lukierski J., Nowicki A., and Ruegg H. New quantum Poincaré algebra and κ deformed field theory. Phys. Lett. B 293 (1992) 344
7. [arXiv: hep-th/9405107]. Majid S., and Ruegg H. Bicrossproduct structure of κ-Poincaré group and noncommutative geometry. Phys. Lett. B 334 (1994) 348
8. [arXiv: math.QA/9905097]. Stachura P. C*-algebra of a differential groupoid. Banach Center Publications 51 (2000) 263
9. [arXiv:math.QA/0203098]. Stachura P. From double Lie groups to quantum groups. Fund. Math. 188 (2005) 195
10. [arXiv: hep-th/0107039]. Bruno N.R., Amelino-Camelia G., and Kowalski-Glikman J. Deformed boost transformations that saturate at the Planck scale. Phys. Lett. B 522 (2001) 133
11. S. Judes and M. Visser: Conservation Laws in Doubly Special Relativity [arXiv: gr-gc/0205067].
12. D. V. Ahluwalia-Khalilova: Operational indistiguishability of doubly special relativity from special relativity [arXiv: gr-gc/02121281.
13. J. Lukierski and A. Nowicki: Doubly Special Relativity versus κ-deformation of relativistic dynamics [arXiv: hep-th/0203065].
14. Lu J.H., and Weinstein A. Poisson Lie Groups, Dressing Transformations and Bruhat Decomposition. J. Diff. Geom. 31 (1990) 501
15. Majid S. Hopf-von Neumann Algebra Bicrossproduct, Kac Algebra Bicrossproduct and Classical YangBaxter Equations. J. Functional Analysis 95 (1991) 291
16. P. Stachura: Double Lie algebras and Manin triples [arXiv: q-alg/9712040].
17. Vaes S., and Vainerman L. Extensions of locally compact quantum groups and the bicrossed product constraction. Advances in Mathematics 175 (2003) 1-101
18. G. Amelino-Camelia, J. Kowalski-Glikman, G. Mandacivi and A. Procaccini: Phenomenology of Doubly Special Relativity [arXiv:gr-gc/0312124].