The coisotropic subgroup structure of SL_q(2,R)
Quantum Algebra
2014-11-18 v1 High Energy Physics - Theory
Abstract
We study the coisotropic subgroup structure of standard SL_q(2,R) and the corresponding embeddable quantum homogeneous spaces. While the subgroups S^1 and R_+ survive undeformed in the quantization as coalgebras, we show that R is deformed to a family of quantum coisotropic subgroups whose coalgebra can not be extended to an Hopf algebra. We explicitly describe the quantum homogeneous spaces and their double cosets.
Cite
@article{arxiv.math/9907048,
title = {The coisotropic subgroup structure of SL_q(2,R)},
author = {F. Bonechi and N. Ciccoli and R. Giachetti and E. Sorace and M. Tarlini},
journal= {arXiv preprint arXiv:math/9907048},
year = {2014}
}
Comments
LaTex2e, 10pg, no figures