Crystals for Demazure Modules of Classical Affine Lie Algebras
Abstract
We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A(1)n,B(1)n,C(1)n,D(1)n, A(2)2n-1,A(2)2n, and D(2)n+1. We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show if the highest weight is l0, the Demazure crystal has a remarkably simple structure.
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