The Space of Vector Fields on Q-Groups
High Energy Physics - Theory
2007-05-23 v1
Abstract
We construct the space of vector fields on quantum groups . Its elements are products of the known left invariant vector fields with the elements of the quantum group itself. We also study the duality between vector fields and 1-forms. The construction is easily generalized to tensor fields. A Lie derivative along any (also non left invariant) vector field is proposed. These results hold for a generic Hopf algebra.
Cite
@article{arxiv.hep-th/9311151,
title = {The Space of Vector Fields on Q-Groups},
author = {P. Aschieri},
journal= {arXiv preprint arXiv:hep-th/9311151},
year = {2007}
}
Comments
LATEX FILE,16 pages November 1993 UCLA/93/TEP/25