Power-associative Lie-admissible algebras (Q795159)
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scientific article; zbMATH DE number 3861401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Power-associative Lie-admissible algebras |
scientific article; zbMATH DE number 3861401 |
Statements
Power-associative Lie-admissible algebras (English)
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1984
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An algebra A is third-power-associative if its multiplication, *, satisfies the identity \(x*(x*x)=(x*x)*x.\) This paper presents a determination of all finite-dimensional, third-power-associative, Lie- admissible algebras A over a field of characteristic zero in the case that \(A^-\) is a semisimple Lie algebra.
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characteristic zero
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third-power-associative
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Lie-admissible algebras
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semisimple Lie algebra
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