| GENERAL |
|
|
|
|
Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra |
| Azmi Ali Altintas1, Metin Arik2, Ali Serdar Arikan3, Emre Dil3** |
1Faculty of Engineering, Okan University, Tuzla, Istanbul, Turkey
2Department of Physics, Bo?aziçi University, Bebek, Istanbul, Turkey
3Department of Physics, Sakarya University, Esentepe, Sakarya, Turkey |
|
| Cite this article: |
|
Azmi Ali Altintas, Metin Arik, Ali Serdar Arikan et al 2012 Chin. Phys. Lett. 29 010203 |
|
|
|
|
Abstract We investigate the inhomogeneous invariance quantum group of the d−dimensional d−parameter deformed boson algebra. It is found that the homogeneous part of this quantum group is given by the d−parameter deformed general linear group. We construct the R-matrix which collects all information about the non-commuting structure of the quantum group for the two-dimensional case.
|
|
|
Received: 05 October 2011
Published: 07 February 2012
|
|
|
|
|
|
|
|
| [1] Arik M, Coon D D and Lam Y M 1975 J. Math. Phys. 16 1776 [2] Arik M and Coon D D 1976 J. Math. Phys. 17 524 [3] Macfarlane A J 1989 J. Phys. A 22 4581 [4] Biedenharn L C 1989 J. Phys. A L873 [5] Sklyanin E, Takhtajan L and Faddeev L 1979 Theor. Math. Phys. 40 688 [6] Kulish P and Reshetikhin N Y 1983 J. Sov. Math. 23 2345 [7] Chacihian M and Demichev A P 1996 Introduction to Quantum Groups (River Edge, NJ: World Scientific) [8] Biedenharn L C and Lohe M A 1995 Quantum Group Symmetry and q Tensor Algebras (Singapore: World Scientific) [9] Faddeev L D, Reshetikhin N Y and Takhtajan L A 1990 Leningrad Math. J. 1 193 [10] Arik M and Arikan A S 2001 Eur. Phys. J. C 20 389 [11] Woronowicz S L 1987 Commun. Math. Phys. 111 613 [12] Manin Yu I 1988 Quantum Groups and Non Commutative Geometry (Montreal: Centre de Reserches Mathematiques) [13] Arik M and Kayserilioglu U 2005 Balkan Phys. Lett. 13 101 [14] Arik M, Gun S and Yildiz A 2003 Eur. Phys. J. C 27 453 [15] Arik M and Baykal A 2004 J. Math. Phys. 45 4207 [16] Altintas A A, Arik M and Arikan A S 2009 Mod. Phys. Lett. A 24 3137 [17] Schirmacher A 1991 Z. Phys. C 50 321 [18] Altintas A A, Arik M and Arikan A S 2010 Central Eur. J. Phys. 8 819 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
