Pointed Hopf actions on fields. II (Q296662)
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scientific article; zbMATH DE number 6597447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointed Hopf actions on fields. II |
scientific article; zbMATH DE number 6597447 |
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Pointed Hopf actions on fields. II (English)
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23 June 2016
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pointed Hopf algebra
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Hopf algebra action
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field
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finite Cartan type
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Galois-theoretical
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0.91054046
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0.9066421
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0.89950055
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0.89550763
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0.8916677
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Let \(k\) be an algebraically closed field of characteristic zero. In this paper, the authors determine when certain finite-dimensional pointed Hopf algebras \(H\) over \(k\), of finite Cartan type, act inner faithfully on a field extension of \(k\). This is done for type \(A_1^{\times r}\) and some cases of rank 2. Necessary and sufficient conditions are also provided for Reshetikhin twists of small quantum groups to have the mentioned property.NEWLINENEWLINEFor Part I, see [the authors, Transform. Groups 20, No. 4, 985--1013 (2015; Zbl 1338.16035)].
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