We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A Ž1. , B Ž1. , C Ž1. , D Ž1. , A Ž2. , A Ž2. , and D Ž2. . We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is l⌳ , the Dem
Real Characters for Demazure Modules of Rank Two Affine Lie Algebras
✍ Scribed by Yasmine B. Sanderson
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 211 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
Using Littelmann's path model for highest weight representations of Kac᎐Moody algebras, we obtain explicit combinatorial expressions for certain specialized characters of all Demazure modules of A Ž1. and A Ž2. .
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