122 citations · 392 across the 35 of their papers we have counts for
46 papers
Grothendieck Rings of Module Categories: Localizations, Strata, and Radicals
Riley Chinburg, Dmitri Nikshych
For a non-degenerate braided fusion category , we study the Grothendieck -ring of -module categories. We define a convolution of étale algebras…
Twisted Deligne products of semisimple tensor categories
Pavel Etingof, Dmitri Nikshych, Victor Ostrik
We discuss the classification of twisted Deligne products of two semisimple tensor categories , i.e., categorifications of the tensor product of their Grothe…
Pivotal Brauer-Picard groupoids and graded extensions
Agustina Czenky, David Jaklitsch, Dmitri Nikshych +4
We develop pivotal and spherical versions of graded extension theory. We define the corresponding analogues of Brauer-Picard -categorical groups and realize them as fixed points…
The Tannakian radical and the mantle of a braided fusion category
Jason Green, Dmitri Nikshych
We define the Tannakian radical of a braided fusion category as the intersection of its maximal Tannakian subcategories. The localization of correspondi…
The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…
Computing the group of minimal non-degenerate extensions of a super-Tannakian category
Dmitri Nikshych
We prove an analog of the Künneth formula for the groups of minimal non-degenerate extensions arXiv:1602.05936 of symmetric fusion categories. We describe in detail the structure o…