45 citations · 131 across the 13 of their papers we have counts for
4 papers · 1 filter
Platonic and alternatinc 2-groups
Narthana Epa, Nora Ganter
We recall Schur's work on universal central extensions and develop the analogous theory for categorical extensions of groups. We prove that the String 2-groups are universal in thi…
Representation and character theory of finite categorical groups
Nora Ganter, Robert Usher
We study the gerbal representations of a finite group or, equivalently, module categories over Ostrik's category for a 3-cocycle . We adapt Bartlett's string diagr…
Symmetric and exterior powers of categories
Nora Ganter, Mikhail Kapranov
We define symmetric and exterior powers of categories, fitting into categorified Koszul complexes. We discuss examples and calculate the effect of these power operations on the cat…
Inner products of 2-representations
Nora Ganter
We define and calculate inner products of 2-representations. Along the way, we prove that the categorical trace Tr(-) of [Ganter and Kapranov, Representation and character theory i…