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Affine weyl groups and conjugacy classes in Weyl groups

✍ Scribed by George Lusztig

Book ID
112788328
Publisher
SP Birkhäuser Verlag Boston
Year
1996
Tongue
English
Weight
733 KB
Volume
1
Category
Article
ISSN
1083-4362

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📜 SIMILAR VOLUMES

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In this paper we study the Weyl groups of reduced extended affine root systems, the root systems of extended affine Lie algebras. We start by describing the extended affine Weyl group as a semidirect product of a finite Weyl group and a Heisenberg-like normal subgroup. This provides a unique express

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✍ 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