Vector Fields on Quantum Groups
q-alg
2009-10-28 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
We construct the space of vector fields on a generic quantum group. Its elements are products of elements of the quantum group itself with left invariant vector fields. We study the duality between vector fields and 1-forms and generalize the construction to tensor fields. A Lie derivative along any (also non left invariant) vector field is proposed and a puzzling ambiguity in its definition discussed. These results hold for a generic Hopf algebra.
Keywords
Cite
@article{arxiv.q-alg/9505023,
title = {Vector Fields on Quantum Groups},
author = {Paolo Aschieri and Peter Schupp},
journal= {arXiv preprint arXiv:q-alg/9505023},
year = {2009}
}
Comments
25 pages, latex, uses bezier.sty