Crossed modules and Doi-Hopf modules (Q1366951)
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scientific article; zbMATH DE number 1062364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Crossed modules and Doi-Hopf modules |
scientific article; zbMATH DE number 1062364 |
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Crossed modules and Doi-Hopf modules (English)
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3 June 1998
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The main result of this paper is that crossed modules (also known as Yetter-Drinfeld modules) are particular cases of Doi's unified Hopf modules. A generalization of crossed modules is introduced to this end, and a generalization of the Drinfeld double is defined. The latter turns out to be isomorphic to a (generalized) smash product.
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crossed modules
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Yetter-Drinfeld modules
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Hopf modules
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Drinfeld doubles
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smash products
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