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Gauss decomposition of trigonometric R-matrices | | Sergei Khoroshkin
; A. A. Stolin
; V.N. Tolstoy
; | | Date: |
7 Apr 1994 | | Journal: | Mod.Phys.Lett. A10 (1995) 1375-1392 | | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | | Affiliation: | ITEP, Moscow), A. A. Stolin (Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden), and V.N. Tolstoy (Institute of Nuclear Physics, Moscow State University | | 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. | | Source: | arXiv, hep-th/9404038 | | Services: | Forum | Review | PDF | Favorites | |
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