Admissible Pictures and Littlewood-Richardson Crystals

Abstract

We present a one-to-one correspondence between the set of admissible pictures and the Littlewood-Richardson crystals. As a simple consequence, we shall show that the set of pictures does not depend on the choice of admissible orders.

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• Admissible Pictures and $U_q(gl(m,n))$-Littlewood-Richardson Tableaux