Crossed modules and doi-hopf modules
Copyright policy )Crossed modules and doi-hopf modules
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.
- Fudan University China (People's Republic of)
- Université Libre de Bruxelles Belgium
- Vrije Universiteit Brussel Belgium
- University of Bucharest Romania
Drinfeld doubles, Smash products of general Hopf actions, crossed modules, smash products, Quantum groups (quantized enveloping algebras) and related deformations, Yetter-Drinfeld modules, Hopf modules, Hopf algebras (associative rings and algebras)
Drinfeld doubles, Smash products of general Hopf actions, crossed modules, smash products, Quantum groups (quantized enveloping algebras) and related deformations, Yetter-Drinfeld modules, Hopf modules, Hopf algebras (associative rings and algebras)
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