Crystals for Demazure Modules of Classical Affine Lie Algebras
A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama
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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