Infinite Braided Tensor Products and 2-D quantum Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages, LATEX, to appear Proc. XXI DGM, Nankai, China 1992

Scientific paper

Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of braided groups. Here we study infinite braided tensor products of the quantum plane (or other constant Zamolodchikov algebra). It turns out that such a structure precisely describes the exchange algebra in 2D quantum gravity in the approach of Gervais. We also consider infinite braided tensor products of quantum groups and braided groups.

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