Factorization of the universalR-matrix forU_q \left( {\hat sl_2 } \right)^1 |
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| Authors: | J Ding S Pakuliak S Khoroshkin |
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| Institution: | (1) Department of Mathematical Sciences, University of Cincinnati, USA;(2) Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Moscow Oblast, Russia;(3) Bogoliubov Institute for Theoretical Physics, Kiev, Ukraine;(4) Institute for Theoretical and Experimental Physics, Moscow, Russia |
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| Abstract: | The factorization of the universal R-matrix corresponding to the so-called Drinfeld Hopf structure is described in the example
of the quantum affine algebra
. As a result of the factorization procedure, we deduce certain differential equations on the factors of the universal R-matrix
that allow uniquely constructing these factors in the integral form.
This article was written at the request of the Editorial Board
Translated from Teoreticheskava i Matematicheskaya Fizika, Vol. 124, No. 2, pp. 179–214, August, 2000 |
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