1 citations · 1 across the 7 of their papers we have counts for
8 papers
On Haagerup-Izumi fusion categories
Terry Gannon, Andrew Schopieray, Harshit Yadav
For every odd , we construct a Haagerup-Izumi (HI) category for , using Barnes double-sine functions. Equivariantization gives near-group categories of type $((\mat…
A Galois connection between subalgebras and tensor subcategories
Kenichi Shimizu, Harshit Yadav
Let be a braided finite tensor category and let be a simple commutative algebra in . We construct an order-reversing Galois connection between subalg…
Transparent Subalgebras and Local Module Categories
Kenichi Shimizu, Harshit Yadav
Let be a commutative simple algebra in a braided finite tensor category . We identify the largest transparent subalgebra of as the algebra induced by a central…
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…
Commutative exact algebras and modular tensor categories
Kenichi Shimizu, Harshit Yadav
Inspired by the study of vertex operator algebra extensions, we answer the question of when the category of local modules over a commutative exact algebra in a braided finite tenso…