An Application of Crystal Bases to Representations of Affine Lie Algebras Original Research Article

It has been shown that up to degree shifts any integrable highest weight (or standard) module of level k for an affine Lie algebra image can be imbedded in the tenser product of k copies of level one integrable highest weight modules. When the affine Lie algebra image is of classical type the path realizations of the crystal bases for the level one imageq(image)-modules have been used to obtain these results.