Non-standard quantum (1+1) Poincar\'e group: a $T$--matrix approach
q-alg
2016-09-08 v1 Quantum Algebra
Abstract
The Hopf algebra dual form for the non--standard uniparametric deformation of the (1+1) Poincar\'e algebra is deduced. In this framework, the quantum coordinates that generate define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non--standard quantum Heisenberg group acting on a quantum Galilean plane is obtained.
Cite
@article{arxiv.q-alg/9501029,
title = {Non-standard quantum (1+1) Poincar\'e group: a $T$--matrix approach},
author = {A. Ballesteros and F. J. Herranz and M. A. del Olmo and C. M. Pereña and M. Santander},
journal= {arXiv preprint arXiv:q-alg/9501029},
year = {2016}
}
Comments
17 pages, LaTeX.