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Julien Bichon and
Agustin Garcia Iglesias
Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps
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| Published: |
May 19, 2026. |
| Keywords: |
Hopf algebras, Galois objects, bicrossed products. |
| Subject [2010]: |
16T05, 16S35. |
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Abstract
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 obtained from Hopf-Galois objects over the two factors and a certain twisting map, while the unique Hopf algebra making it into a bi-Galois object is again a bicrossed product.
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| Acknowledgements
N/A
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| Author information
Julien Bichon
Universite Clermont Auvergne
CNRS, LMBP
F-63000 Clermont-Ferrand, France
julien.bichon@uca.fr
Agustin Garcia Iglesias
Facultad de Matematica, Astronomia, Fisica y Computacion (FaMAF)
Medina Allende S/N
Universidad Nacional de Cordoba
Ciudad Universitaria, Cordoba (X5000HUA), Argentina
agustingarcia@unc.edu.ar
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