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On some H-Galois objects and their polynomial H-identities

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Abstract

Let k be an algebraically closed field of characteristic 0 and H a non-semisimple monomial Hopf algebra. Extending a previous result of Kassel (Ann Math Blaise Pascal 20: 175–191, 2013), we prove that some (not necessarily bi-)Galois objects over H are determined up to H-comodule algebra isomorphism by their polynomial H-identities.

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  1. Departamento de Matemática, Universidade Federal de São Carlos, UFSCar, Rod Washington Luís, Km 235, São Carlos, São Paulo, 13565-905, Brazil

    Waldeck Schützer & Abel Gomes de Oliveira

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  1. Waldeck Schützer
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  2. Abel Gomes de Oliveira
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Correspondence to Waldeck Schützer.

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The second author was sponsored by CAPES Grant number 88882.426777/2019-01 during the completion of this work.

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Schützer, W., de Oliveira, A.G. On some H-Galois objects and their polynomial H-identities. Arch. Math. 116, 7–18 (2021). https://doi.org/10.1007/s00013-020-01508-6

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  • DOI: https://doi.org/10.1007/s00013-020-01508-6

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