J. Bichon

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20242026

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math.QA2025

Faithful flatness of Hopf algebras over coideal subalgebras with a bimodule conditional expectation

Julien Bichon

We give a direct and self-contained proof that if $H$ is a Hopf algebra and $A \subset H$ is a right coideal subalgebra such $A$ is a direct summand in $H$ as an $A$ -bimodule, then…

math.QA2024

Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps

Julien Bichon, AgustÃn GarcÃa

We describe Hopf-Galois objects over bicrossed product Hopf algebras. More precisely, we show that any right Hopf-Galois object over a bicrossed product of Hopf algebras is obtaine…