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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