4 papers
Ribbon categories from ind-exact algebras: simple current case
Kenichi Shimizu, Harshit Yadav
We give criteria for when finitely generated local modules over a commutative algebra in the ind-completion of a braided tensor category i…
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…
-Frobenius functors and exact module categories
David Jaklitsch, Harshit Yadav
We call a tensor functor between finite tensor categories -Frobenius if its left and right adjoints are isomorphic as -bimodule…
Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras
Thomas Creutzig, Robert McRae, Kenichi Shimizu +1
Let be a commutative algebra in a braided monoidal category ; e.g., could be an extension of a vertex operator algebra (VOA) in a category of…