GENERALIZED YOUNG WALLS AND CRYSTAL BASES FOR QUANTUM AFFINE ALGEBRA OF TYPE A

초록

We give a new realization of the crystal B(infinity) of U(q)(-)(A(n)((1))) using generalized Young walls, a modified notion of Young walls of type A(n)((1)). Moreover, by the fact that the irreducible highest weight crystal B(lambda) lies in the crystal B(infinity) circle times R(lambda), we construct the crystal B(lambda) using generalized Young walls.

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