An infinitesimal theory of reductive loops (Q1595556)
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scientific article; zbMATH DE number 1564339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An infinitesimal theory of reductive loops |
scientific article; zbMATH DE number 1564339 |
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An infinitesimal theory of reductive loops (English)
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13 February 2001
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A smooth loop is called reductive if it is left-monoalternative and a left A-loop simultaneously. On a smooth reductive loop \(Q\) the fundamental right vector fields are constructed. These fields form a triple Lie algebra and define a system of differential equations defining the loop \(Q\). If the fundamental right vector fields of a smooth monoalternative loop \(Q\) form a triple Lie algebra, then this loop is reductive.
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loop
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reductive loop
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differential equations
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triple Lie algebra
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