Fibre functors of finite dimensional comodules (Q1121355)
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scientific article; zbMATH DE number 4103285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fibre functors of finite dimensional comodules |
scientific article; zbMATH DE number 4103285 |
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Fibre functors of finite dimensional comodules (English)
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1989
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Let A be a commutative Hopf algebra over a field k; the k-valued fibre functors on the category of finite dimensional A-comodules correspond to Spec(A)-torsors over k as was shown by Saavedra Rivano and Deligne-Milne. A non-commutative version of this result is proved by using methods developed in a previous paper [Manuscr. Math. 59, 391-397 (1987; Zbl 0634.16027)]. Furthermore, right adjoints for fibre functors are exhibited under the assumption that the antipode of A is bijective.
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commutative Hopf algebra
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category of finite dimensional A-comodules
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torsors
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right adjoints
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fibre functors
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antipode
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