Lie bialgebras arising from alternative and Jordan bialgebras (Q606015)
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scientific article; zbMATH DE number 5816235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie bialgebras arising from alternative and Jordan bialgebras |
scientific article; zbMATH DE number 5816235 |
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Lie bialgebras arising from alternative and Jordan bialgebras (English)
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15 November 2010
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Let \(A\) be a finite-dimensional alternative noncommutative algebra over an algebraically closed field of characteristic different from 2. The author proves that \(A\) admits the nontrivial structure of an alternative \(D\)-bialgebra with cocommutative comultiplication on the center.
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alternative bialgebra
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Jordan bialgebra
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classical Yang-Baxter equation
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nonassociative coalgebra
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Cayley-Dickson algebra
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