Excedances in classical and affine Weyl groups
β Scribed by Mongelli, Pietro
- Book ID
- 120297001
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 272 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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
If s E S is not special, it is still true that Q n Y, is non-empty; however, it may be a union of several left cells. ## 2. NOTATION AND RECOLLECTIONS 2.1. We refer to [l] for the definition of the basis (C,) of the Hecke algebra of ( W, S) and of the relation y< w on W. We shall write y -w instea