A structure theorem for quasi-Hopf comodule algebras |
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| Authors: | Florin Panaite Freddy Van Oystaeyen |
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| Institution: | Institute of Mathematics of the Romanian Academy, PO-Box 1-764, RO-014700 Bucharest, Romania ; Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium |
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| Abstract: | If  is a quasi-Hopf algebra and  is a right  -comodule algebra such that there exists  a morphism of right  -comodule algebras, we prove that there exists a left  -module algebra  such that  . The main difference when comparing to the Hopf case is that, from the multiplication of  , which is associative, we have to obtain the multiplication of  , which in general is not; for this we use a canonical projection  arising from the fact that  becomes a quasi-Hopf  -bimodule. |
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| Keywords: | |
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