Aq-difference analogue of U(g) and the Yang-Baxter equation |
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Authors: | Michio Jimbo |
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Institution: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan |
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Abstract: | Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced. Its structure and representations are studied in the simplest case g=sl(2). It is then applied to determine the eigenvalues of the trigonometric solution of the Yang-Baxter equation related to sl(2) in an arbitrary finite-dimensional irreducible representation. |
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