K. Miyamoto

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math.RT2026

Frobenius--Perron dimension and tensor products of algebras

Kengo Miyamoto

In this paper, we study how the Frobenius--Perron dimension of finite-dimensional algebras behaves under tensor products and related constructions. We prove that Frobenius--Perron…

math.RT2024

On $I ¨ $ -tilting finiteness of symmetric algebras of polynomial growth

Kengo Miyamoto, Qi Wang

In this paper, we report on the $I ¨ $ -tilting finiteness of some classes of finite-dimensional algebras over an algebraically closed field, including symmetric algebras of polynomia…

math.RT2024

Representation-finite tensor product of simply connected algebras

Kengo Miyamoto, Qi Wang

We determine the representation-finiteness of $A \otimes B$ , where both $A$ and $B$ are simply connected algebras with at least three simple modules.

Frobenius--Perron dimension and tensor products of algebras

On I¨-tilting finiteness of symmetric algebras of polynomial growth

Representation-finite tensor product of simply connected algebras

On $I ¨ $ -tilting finiteness of symmetric algebras of polynomial growth