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Extended affine Weyl groups and Frobenius manifolds

✍ Scribed by Boris Dubrovin; Youjin Zhang

Book ID
111522967
Publisher
Cambridge University Press
Year
1998
Tongue
English
Weight
340 KB
Volume
111
Category
Article
ISSN
0010-437X

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πŸ“œ SIMILAR VOLUMES

Extended Affine Weyl Groups
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✍ Saeid Azam πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 370 KB

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

On the Relation of Extended Affine Weyl
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✍ Saeid Azam πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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