A construction of representations of affine Weyl groups
β Scribed by D.S. SAGE
- Book ID
- 111522883
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Weight
- 69 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0010-437X
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π SIMILAR VOLUMES
Extended affine Weyl groups are the Weyl groups of root systems of a new class of Lie algebras called extended affine Lie algebras. In this paper we show that a Ε½ . reduced extended affine Weyl group is the homomorphic image of some indefinite KacαMoody Weyl group where the homomorphism and its kern
Let W be a Weyl group and let V be the natural β«ήβ¬W-module, i.e., the reflection representation. For a complex irreducible character of W, we consider the invariant Γ wgW Ε½ . introduced by N. Kawanaka. We determine I ; q explicitly. Looking over these Ε½ . results, we observe a relation between Kawa