The decomposition of level-1 irreducible highest-weight modules with respect to the level-0 actions of the quantum affine algebra

摘要

The level-1 irreducible highest-weight modules of the quantum affine algebra U-q(<(sl)over cap>(n)) are decomposed into irreducible components with respect to the level-0 U-q'(<(sl)over cap>(n))-action previously defined in [13]. The components of the decomposition are found to be the so-called tame representations of U-q'(<(sl)over cap>(n)) parametrized by the skew Young diagrams of the border-strip type. This result verifies a recent conjecture due to Kirillov et al. [References: 19]