Realizations of crystal using Young tableaux and Young walls

Young tableaux and Young walls are combinatorial schemes realizing the irreducible highest weight crystal . We modify the notions of Young tableau and Young wall to give a realization of the crystal . For the case , the limit of a coherent family of perfect crystals is realized as the classical crystal of the set of equivalence classes of slices and the crystal is realized as the affine crystal consisting of reduced Young walls, which, in turn, are concatenations of slices. We also give a new realization of the same crystal over special linear Lie algebra, in the language of Young tableau.