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 ลฝ . reduced extended affine Weyl group is the homomorphic image of some indefinite KacแMoody Weyl group where the homomorphism and its kern
Dynamical Weyl Groups and Applications
โ Scribed by P. Etingof; A. Varchenko
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 335 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0001-8708
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โฆ Synopsis
Following a preceding paper of Tarasov and the second author, we define and study a new structure, which may be regarded as the dynamical analog of the Weyl group for Lie algebras and of the quantum Weyl group for quantized enveloping algebras. We give some applications of this new structure.
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