160 citations · 499 across the 28 of their papers we have counts for
31 papers
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…
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…
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…
Hopf Galois extensions of Hopf algebroids
Xiao Han, Peter Schauenburg
We study Hopf Galois extensions of Hopf algebroids as a generalization of the theory for Hopf algebras. More precisely, we introduce (skew-)regular comodules and generalize the str…
A Topological Invariant for Modular Fusion Categories
Ajinkya Kulkarni, Michaël Mignard, Peter Schauenburg
The modular data of a modular category , consisting of the -matrix and the -matrix, is known to be an incomplete invariant of . More generally, the…
Morita equivalence of pointed fusion categories of small rank
Michaël Mignard, Peter Schauenburg
We classify pointed fusion categories C(G, ) up to Morita equivalence for 1 < |G| < 32. Among them, the cases |G| = 2 3 , 2 4 and 3 3 are emphasized. Although the equivalence cl…