The universalR-matrix forU
q
sl(3) and beyond! |
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| Authors: | Nigel Burroughs |
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| Institution: | (1) Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW Cambridge, England |
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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.Supported by a SERC studentship |
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| Keywords: | |
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