Demazure modules and vertex models: the affine sl(2) case
  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'. 
Omar Foda (Melbourne, and Utrecht), Kailash C. Misra (NCSU), and   Masato Okado (Osaka)