Author

Harshit Yadav

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Preprint Sep 2026

A Galois connection between subalgebras and tensor subcategories

Let $\mathcal{B}$ be a braided finite tensor category and let $A$ be a simple commutative algebra in $\mathcal{B}$. We construct an order-reversing Galois connection between subalgebras of $A$ and tensor subcategories of $\mathcal{B}_A$. Let $\mathcal{B}'$ denote the M\"uger center and set $A':=A\cap\mathcal{B}'$. The...

Kenichi Shimizu, Harshit Yadav · 0 citations

Preprint Aug 2026

Transparent Subalgebras and Local Module Categories

Let $A$ be a commutative simple algebra in a braided finite tensor category $\mathcal{B}$. We identify the largest transparent subalgebra of $A$ as the algebra induced by a central lift of the free-module functor. This identification gives formulas for the Frobenius-Perron dimension and the M\"uger center of the catego...

Kenichi Shimizu, Harshit Yadav · 1 citation · ⚡1

Preprint Sep 2026

On Haagerup-Izumi fusion categories

For every odd $N$, we construct a Haagerup-Izumi (HI) category for $\mathbb Z/N$, using Barnes double-sine functions. Equivariantization gives near-group categories of type $((\mathbb Z/N)^2,N^2)$ for every odd $N$. We classify connected separable algebras up to Morita equivalence in such HI categories and describe the...

Terry Gannon, Andrew Schopieray, Harshit Yadav · 1 citation