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arXiv · hep-th/9404038

Gauss decomposition of trigonometric R-matrices

Sergei Khoroshkin·A. A. Stolin·V. N. Tolstoy
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Abstract

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.

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Sergei Khoroshkin, A. A. Stolin, V. N. Tolstoy. 1994-04-07. Gauss decomposition of trigonometric R-matrices. https://doi.org/10.1142/s0217732395001496

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