Demazure modules and vertex models: the affine sl(2) case

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We characterize, in the case of affine sl(2), the crystal base of the Demazure module E_w(\La) in terms of extended Young diagrams or paths for any dominant integral weight \La and Weyl group element w. Its character is evaluated via two expressions, 'bosonic' and 'fermionic'.
31 pages, latex or latex2e, 8 eps figures, uses epsf macro, uudecoded

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