A remark on almost cocommutative Hopf algebras (Q1842738)
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scientific article; zbMATH DE number 746181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on almost cocommutative Hopf algebras |
scientific article; zbMATH DE number 746181 |
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A remark on almost cocommutative Hopf algebras (English)
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30 November 1995
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Let \(H\) be a Hopf algebra over a commutative ground ring \(R\) with unit element. Assume that there exist elements \(g,f\in H\) such that \(\Delta(g)=\Delta(f)^{-1}\) in \(H\otimes H\) and \(s_{12}(\Delta(h))=\Delta(ghf)\) for all \(h\in H\), where \(s_{12}\) swaps the entries. Note that the algebra \(H\) with this property is quasitriangular. It is shown that \(H\) is cocommutative.
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quasitriangular Hopf algebras
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cocommutative Hopf algebras
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