The main result of the paper is to get the transition formulae between the alcove form and the permutation form of w β W a , where W a is an affine Weyl group of classical type. On the other hand, we get a new characterization for the alcove form of an affine Weyl group element which has a much simp
On the Relation of Extended Affine Weyl Groups and Indefinite Weyl Groups
β Scribed by Saeid Azam
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 125 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
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 kernel are given explicitly.
π SIMILAR VOLUMES
Let W, S be a Coxeter system, T s wsw Β¬ s g S, w g W its set of reflections, $ any total reflection order, and β« the undirected Bruhat graph. We Γ 4 consider the natural labeling of the edges of β« which assigns to the edge Β¨, w the reflection Β¨wy1 . A path on β«, i.e., a sequence Β¨, . . . , Β¨such tha
We find a representative set of left cells of the affine Weyl group W of type C a 4