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arXiv · q-alg/9505023

Vector Fields on Quantum Groups

Paolo Aschieri·Peter Schupp
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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.

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Paolo Aschieri, Peter Schupp. 1995-05-18. Vector Fields on Quantum Groups. https://doi.org/10.1142/s0217751x9600050x

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