The Space of Vector Fields on Q-Groups

Details The Space of Vector Fields on Q-Groups The Space of Vector Fields on Q-Groups

1993-11-25

arxiv.org/abs/hep-th/9311151v1

Physics

High Energy Physics

High Energy Physics - Theory

LATEX FILE,16 pages November 1993 UCLA/93/TEP/25

Scientific paper

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.

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