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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…