Hermitian representations of the extended affine Lie algebra
β Scribed by Yun Gao; Ziting Zeng
- Book ID
- 108051476
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 216 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
This is the first of what will be a sequence of three papers dealing with a generalization of certain parts of the beautiful work of V. Kac on finiteorder automorphisms of finite-dimensional complex simple Lie algebras. Recall that Kac (see [K2, Chap. 8] and [H, Sect. X.5]) built a Lie algebra from
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