5 papers
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…
Equivariant Eilenberg-Watts theorem for module coalgebras
Taiki Shibata, Kenichi Shimizu
For coalgebras and , Takeuchi proved that the category of linear functors from to preserving small coproducts is equivalent to the category…
Exact module categories over
Daisuke Nakamura, Taiki Shibata, Kenichi Shimizu
We give a complete list of indecomposable exact module categories over the finite tensor category of representations of the small quantum group…