Fractional supersymmetric model on the \(M\mathbb{C}_n\) spaces (Q1579063)
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scientific article; zbMATH DE number 1502065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional supersymmetric model on the \(M\mathbb{C}_n\) spaces |
scientific article; zbMATH DE number 1502065 |
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Fractional supersymmetric model on the \(M\mathbb{C}_n\) spaces (English)
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4 September 2000
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An extension of Clifford algebras, which is related to \(n\)-ary linear forms, called generalized Clifford algebras (GCA), is used as a starting point to develop the theory of fractional supersymmetry. These GCAs are related to \(q\)-deformation where \(q\) is a root of unity. A local action is derived and shown to be equivalent with such actions derived previously by different means in the literature.
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multicomplex numbers
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\(n\)-ary linear forms
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fractional supersymmetry
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generalized Clifford algebras
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\(q\)-deformation
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roots of unity
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