160 citations · 499 across the 28 of their papers we have counts for
23 papers · 1 filter
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…
Modular categories are not determined by their modular data
Michaël Mignard, Peter Schauenburg
Arbitrarily many pairwise inequivalent modular categories can share the same modular data. We exhibit a family of examples that are module categories over twisted Drinfeld doubles…
Higher frobenius-schur indicators for drinfeld doubles of finite groups through characters of centralizers
Peter Schauenburg
We present a new approach to calculating the higher Frobenius-Schur indicators for the simple modules over the Drinfeld double of a finite group. In contrast to the formula by Kash…
Frobenius-Schur indicators for some fusion categories associated to symmetric and alternating groups
Peter Schauenburg
We calculate Frobenius-Schur indicator values for some fusion categories obtained from inclusions of finite groups , where more concretely is symmetric or alternati…