Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-07
Mod.Phys.Lett. A10 (1995) 1375-1392
Physics
High Energy Physics
High Energy Physics - Theory
14 pages
Scientific paper
10.1142/S0217732395001496
The general formula for the universal R-matrix for quantized nontwisted affine algebras by Khoroshkin and Tolstoy is applied for zero central charge highest weight modules of the quantized affine algebras. It is shown how the universal R-matrix produces the Gauss decomposition of trigonomitric R-matrix in tensor product of these modules. Explicit calculations for the simplest case of $A_1^{(1)}$ are presented. As a consequence new formulas for the trigonometric R-matrix with a parameter in tensor product of $U_q(sl_2)$-Verma modules are obtained.
Khoroshkin Sergei
Stolin Alexander
Tolstoy Valerij N.
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