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The structure theorem of endomorphism algebras for weak Doi-Hopf modules

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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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Authors and Affiliations

  1. College of Science, Nanjing Agricultural University, Nanjing, 210095, P.R. China

    R. F. Niu, Y. Wang & L. Y. Zhang

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  1. R. F. Niu
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  2. Y. Wang
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  3. L. Y. Zhang
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Correspondence to L. Y. Zhang.

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This research was supported by the National Natural Science Foundation of China (10871170) and the Educational Minister Science Technology Key Foundation of China (108154).

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Niu, R.F., Wang, Y. & Zhang, L.Y. The structure theorem of endomorphism algebras for weak Doi-Hopf modules. Acta Math Hung 127, 273–290 (2010). https://doi.org/10.1007/s10474-010-9134-6

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  • DOI: https://doi.org/10.1007/s10474-010-9134-6

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