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 $A_n^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n-1}^{(2)},A_{2n}^{(2)},and{D}_{n+1}^{(2)}$. 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.

Latex, 28 pages

References in corpus (1)

• Demazure Modules and Perfect Crystals

Cited by in corpus (1)

• Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function