Cartan Calculus on Quantum Lie Algebras

Details Cartan Calculus on Quantum Lie Algebras Cartan Calculus on Quantum Lie Algebras

1993-12-10

arxiv.org/abs/hep-th/9312073v1

Adv. Appl. Clifford Alg.(Proc. Suppl.)4-S1 (1994) 125

Physics

High Energy Physics

High Energy Physics - Theory

15 pages in LaTeX, LBL-34833 and UCB-PTH-93/32

Scientific paper

A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions all into one big algebra, the ``Cartan Calculus''. (This is an extended version of a talk presented by P. Schupp at the XXII$^{th}$ International Conference on Differential Geometric Methods in Theoretical Physics, Ixtapa, Mexico, September 1993)

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