\({\mathbb{Z}}_ 2\)-graded algebras (Q583350)
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scientific article; zbMATH DE number 4132404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathbb{Z}}_ 2\)-graded algebras |
scientific article; zbMATH DE number 4132404 |
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\({\mathbb{Z}}_ 2\)-graded algebras (English)
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1991
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The author generalizes one of the theorems in a paper by \textit{G. W. Mackey} [Czech. J. Phys., B 37, 373-386 (1987; see the preceding review)]. He describes the structure of a Lie superalgebra in which the multiplication of odd elements is as free as possible (Mackey had treated the five-dimensional case). There is a parallel result for ordinary Lie algebras.
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Lie superalgebra
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multiplication of odd elements
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Lie algebras
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