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The universalR-matrix forU q sl(3) and beyond!

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Abstract

TheR-matrices for the quantised Lie algebrasA n are constructed through the quantum double procedure given by Drinfel'd [6]. The case ofU q sl(3) is thoroughly analysed initially to demonstrate the more subtle points of the calculation. The ease of the calculation forA n is very dependent on a choice of generators for the Borel subalgebraU q b + and its dual, and a certain ordering imposed on these generators which is related to the length of a certain word in the Weyl group.

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  1. Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW, Cambridge, England

    Nigel Burroughs

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  1. Nigel Burroughs
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Communicated by J. Fröhlich

Supported by a SERC studentship

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Burroughs, N. The universalR-matrix forU q sl(3) and beyond!. Commun.Math. Phys. 127, 109–128 (1990). https://doi.org/10.1007/BF02096496

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