It has been shown that up to degree shifts any integrable highest weight (or standard) module of level k for an affine Lie algebra g can be imbedded in the tenser product of k copies of level one integrable highest weight modules. When the affine Lie algebra g is of classical type the path realizations of the crystal bases for the level one U-q(g)-modules have been used to obtain these results. (C) 1995 Academic Press, Inc. [References: 13]
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