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Crystals for Demazure Modules of Classical Affine Lie Algebras

A. Kuniba·K. C. Misra·M. Okado·T. Takagi·J. Uchiyama
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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 $l\La_0$, the Demazure crystal has a remarkably simple structure.

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BibTeXRIS

A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama. 1997-07-11. Crystals for Demazure Modules of Classical Affine Lie Algebras. https://arxiv.org/abs/q-alg/9707014

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