Crystals for Demazure Modules of Classical Affine Lie Algebras

详细信息	查看全文 | 推荐本文 |

• 作者：Kuniba ; Atsuo ; Misra ; Kailash C. ; Okado ; Masato ; Takagi ; Taichiro ; Uchiyama ; Jun
• 刊名：Journal of Algebra
• 出版年：1998
• 期刊代码：69_00218693
• 类别：mt
• 出版时间：October 1, 1998
• 卷：208
• 期：1
• 页码：185-215
• 文件大小：336 K

摘要

We study, in the path realization, crystals for Demazure modules of affine Lie algebras of typesA⁽¹⁾_n,B⁽¹⁾_n,C⁽¹⁾_n,D⁽¹⁾_n,A⁽²⁾_2n−1,A⁽²⁾_2n, andD⁽²⁾_n+1. We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight islΛ₀, the Demazure crystal has a remarkably simple structure.