Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\) (Q1335099)
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scientific article; zbMATH DE number 645108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\) |
scientific article; zbMATH DE number 645108 |
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Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\) (English)
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28 September 1994
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The author determines the defining relations of Weyl groups for extended affine root systems of type \(A^{(1,1)}_l\), \(B^{(1,1)}_l\), \(C^{(1,1)}_l\), \(D^{(1,1)}_l\) and shows that similarly to the affine cases, each reflection is expressed by the product of finite type simple reflections and two translations.
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relations
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Weyl groups
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extended affine root systems
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simple reflections
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translations
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