Vector Fields on Quantum Groups

Details Vector Fields on Quantum Groups Vector Fields on Quantum Groups

1995-05-18

arxiv.org/abs/q-alg/9505023v1

Int.J.Mod.Phys. A11 (1996) 1077-1100

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex, uses bezier.sty

Scientific paper

10.1142/S0217751X9600050X

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.

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