Abstract: In the setting of quasi-Hopf algebras,we use the theories of separable functors for corings to give the necessary and sufficient conditions for the forgetful functor(forgetting the coaction) to be separable,which induces the general integrals for Doi-Hopf datums.As an application of the result,we prove Maschke-type theorems for Doi-Hopf modules in quasi-Hopf algebras.
Publication Year: 2014
Publication Date: 2014-01-01
Language: en
Type: article
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