Vogan diagrams of real forms of affine Kac-Moody Lie algebras (Q1614644)
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scientific article; zbMATH DE number 1797464
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vogan diagrams of real forms of affine Kac-Moody Lie algebras |
scientific article; zbMATH DE number 1797464 |
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Vogan diagrams of real forms of affine Kac-Moody Lie algebras (English)
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8 September 2002
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A Vogan diagram for a real form of a Lie algebra is a Dynkin diagram with additional structure relating to the orbits of simple roots under the Cartan involution. The author's main result is that given an abstract Vogan diagram for a nontwisted affine Kac-Moody Lie algebra, there exists an almost compact real form of such an algebra such that the given diagram is the Vogan diagram of this almost compact real form.
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