The structure theorem of endomorphism algebras for weak Doi-Hopf modules |
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| Authors: | R F Niu Y Wang L Y Zhang |
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| Institution: | (1) Faculty of Applied Sciences, Vrije Universiteit Brüssel, Pleinlaan 2, 1050 Brussels, Belgium;(2) Faculty of Mathematics, University of Bucharest, Strada Academiei 14, 70109 Bucharest 1, Romania;(3) Institute of Mathematics, Fudan University, 200433 Shanghai, Republic of China |
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| Abstract: | The paper is concerned with endomorphism algebras for weak Doi-Hopf modules. Under the condition “weak Hopf-Galois extensions”,
we present the structure theorem of endomorphism algebras for weak Doi-Hopf modules, which extends Theorem 3.2 given by Schneider
in 1]. As applications of the structure theorem, we obtain the Kreimer-Takeuchi theorem (see Theorem 1.7 in 2]) and the
Nikshych duality theorem (see Theorem 3.3 in 3]) in the case of weak Hopf algebras, respectively. |
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