3 papers
math.CT2026
Cleft Extensions for Hopf Algebroids without Antipodes
Xiao Han, Peter Schauenburg
We introduce cleft extensions for Hopf algebroids. We prove the equivalence between cleft extensions, -twisted crossed products, and Hopf-Galois extensions with the normal basis…
math.CT2025
Hopf BiGalois Theory for Hopf Algebroids
Xiao Han, Peter Schauenburg
We develop a theory of Hopf BiGalois extensions for Hopf algebroids. We understand these to be left bialgebroids (whose left module categories are monoidal categories) fulfilling a…
math.CT2025
Reflective centers as categories of modules
Peter Schauenburg
In [LWY23] the authors construct the reflective center of a module category M over a braided monoidal category B. The reflective center is by construction a braided module category…