Twisted Hopf algebras (Q2782443)
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scientific article; zbMATH DE number 1724377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twisted Hopf algebras |
scientific article; zbMATH DE number 1724377 |
Statements
5 August 2002
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bialgebras
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twisted Hopf algebras
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twists
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quantized enveloping algebras
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algebra deformations
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0.94434154
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0.93479306
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0.93374795
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0.9304849
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Twisted Hopf algebras (English)
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The authors introduce the concept of a twisted Hopf algebra \(A\), which is different from the usual concept of a Hopf algebra by the fact that the comultiplication is an algebra map from \(A\) to a certain algebra deformation of \(A\otimes A\) with respect to a pair of bilinear forms. For example the positive part in the triangular decomposition of the quantized enveloping algebra associated to a simple Lie algebra has a structure of a twisted Hopf algebra. Some properties and constructions of twisted Hopf algebras are presented.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00038].
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