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Note on the Hochschild cohomology of Hopf–Galois extension

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Abstract

We generalize [4, Theorem 4.3] to the case of Hopf–Galois extension, by introducing the cotensor product of a comodule algebra and its opposite algebra, and then give some applications.

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Authors and Affiliations

  1. Department of Basic Sciences, Jinling Institute of Technology, Nanjing, Jiangsu, 211169, P. R. China

    Z. Wang

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  1. Z. Wang
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Correspondence to Z. Wang.

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The author is supported by the Natural Science Foundation of China (Grant No. 11601203), the Jiangsu Provincial Natural Science Foundation of China (Grant No. BK20150113).

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Wang, Z. Note on the Hochschild cohomology of Hopf–Galois extension. Acta Math. Hungar. 154, 223–230 (2018). https://doi.org/10.1007/s10474-017-0765-8

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  • DOI: https://doi.org/10.1007/s10474-017-0765-8

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