𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Weyl group and its currents

✍ Scribed by Wojciech Kopczyński; J.Dermott McCrea; Friedrich W. Hehl

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
391 KB
Volume
128
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Relation of Extended Affine Weyl
On the Relation of Extended Affine Weyl Groups and Indefinite Weyl Groups
✍ Saeid Azam 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 125 KB

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 Ž . reduced extended affine Weyl group is the homomorphic image of some indefinite Kac᎐Moody Weyl group where the homomorphism and its kern

Dynamical Weyl Groups and Applications
Dynamical Weyl Groups and Applications
✍ P. Etingof; A. Varchenko 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 335 KB

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.

Bicrossproduct Structure of the Quantum
Bicrossproduct Structure of the Quantum Weyl Group
✍ S. Majid 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 826 KB

The quantum Weyl group \(\widetilde{U_{q}(g)}\) associated to a complex simple Lie algebra \(g\) consists of the quantum group \(U_{4}(g)\) with certain "quantum simple reflections" \(\bar{u}\), adjoined. Let \(k \tilde{W}\) be the group algebra of the standard covering \(\tilde{W}\) of the Weyl gro