Realisations of Quantum GL_p,q(2) and Jordanian GL_h,h'(2)
Quantum Algebra
2011-04-15 v1 Mathematical Physics
math.MP
Abstract
The quantum group GL_p,q(2) is known to be related to the Jordanian GL_h,h'(2) via a contraction procedure. It can also be realised using the generators of the Hopf algebra G_r,s. We contract the G_r,s quantum group to obtain its Jordanian analogue G_m,k, which provides a realisation of GL_h,h'(2) in a manner similar to the q-deformed case.
Cite
@article{arxiv.math/9909001,
title = {Realisations of Quantum GL_p,q(2) and Jordanian GL_h,h'(2)},
author = {Deepak Parashar and Roger J. McDermott},
journal= {arXiv preprint arXiv:math/9909001},
year = {2011}
}
Comments
6 pages LaTex, Contribution to Proceedings of "8th International Colloquium on Quantum Groups and Integrable Systems", Prague, June 17 - 19, 1999