Axioms for finite and infinite classical Lie algebras
β Scribed by George Maxwell
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 555 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a β«-ήβ¬grading α s α q α q α y1 0 1 of a classical Lie algebra α and the corresponding decomposition α s α q α q ΛΛα»Ή 1 0 α of the affine Lie algebra α. By using a genera
We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A Ε½1. , B Ε½1. , C Ε½1. , D Ε½1. , A Ε½2. , A Ε½2. , and D Ε½2. . We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is lβ³ , the Dem