Crystals for Demazure Modules of Classical Affine Lie Algebras

Details Crystals for Demazure Modules of Classical Affine Lie Algebras Crystals for Demazure Modules of Classical Affine Lie Algebras

1997-07-11

arxiv.org/abs/q-alg/9707014v1

Mathematics

Quantum Algebra

Latex, 28 pages

Scientific paper

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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