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The commutator Hopf Galois extensions.
2019Summary: Let \(H\) be a finite dimensional Hopf algebra over a field \(k\) and let \(H^*\) be the dual Hopf algebra of \(H\). Then a commutator right \(H^*\)-Galois extension \(B\) of \(B^H\) is characterized in terms of the smash product \(B\#H\). Some relationships between such extensions and the Hopf Galois Azumaya extensions or the Hopf Galois ...
Szeto, G., Xue, L.
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On Dynamical Galois Extensions
Communications in Algebra, 2012In the theory of dynamical Yang–Baxter equation, with any Hopf algebra H, a certain H-module, and H-comodule algebra L (base algebra) one can associate a monoidal category. Given an algebra A in that category, one can construct an associative algebra A ⋊ L, which is a generalization of the ordinary smash product when A is an ordinary H-algebra.
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On Galois extensions with prescribed decomposition groups
Journal of Number Theory, 2021Joachim König
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Rank gain of Jacobians over number field extensions with prescribed Galois groups
Mathematische Nachrichten, 2023Bo-Hae Im, Joachim König
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Galois scaffolds and Galois module structure for totally ramified Cp2-extensions in characteristic 0
Journal of Number Theory, 2022Kevin Keating, Paul Schwartz
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Counting GaloisU4(Fp)-extensions using Massey products
Journal of Number Theory, 2017Jan Minac, Nguyen Duy Tan
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