Degenerate Sklyanin algebras |
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Authors: | Andrey Smirnov |
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Affiliation: | 1. Moscow Institute of Physics and Technology, Moscow, Russia 2. Institute for Theoretical and Experimental Physics, Moscow, Russia
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Abstract: | New trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2;?). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special limits of the Sklyanin algebra. A representation for these algebras by the difference operators is found. The sl(N;?)-case is discussed. |
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