Poisson--Lie contractions and quantum (1+1) groups
High Energy Physics - Theory
2016-09-06 v1 Quantum Algebra
Abstract
A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups is constructed by using a classical --matrix which is invariant under contraction. The quantization of this algebra for the Euclidean, Galilei and Poincar\'e cases is developed, and their duals are also computed. Contractions on these quantum groups are studied.
Cite
@article{arxiv.hep-th/9403182,
title = {Poisson--Lie contractions and quantum (1+1) groups},
author = {A. Ballesteros and F. J. Herranz and M. A. del Olmo and M. Santander},
journal= {arXiv preprint arXiv:hep-th/9403182},
year = {2016}
}
Comments
7 pages