Quantum affine algebras |
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| Authors: | Vyjayanthi Chari Andrew Pressley |
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| Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 5 Bombay, India;(2) Department of Mathematics, King's College, Strand, WC2R 2LS London, England, UK |
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| Abstract: | We classify the finite-dimensional irreducible representations of the quantum affine algebra in terms of highest weights (this result has a straightforward generalization for arbitrary quantum affine algebras). We also give an explicit construction of all such representations by means of an evaluation homomorphism , first introduced by M. Jimbo. This is used to compute the trigonometricR-matrices associated to finite-dimensional representations of . |
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