10 citations · 18 across the 14 of their papers we have counts for
7 papers · 1 filter
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…
On -tilting finiteness of symmetric algebras of polynomial growth
Kengo Miyamoto, Qi Wang
In this paper, we report on the -tilting finiteness of some classes of finite-dimensional algebras over an algebraically closed field, including symmetric algebras of polynomial…
Representation-finite tensor product of simply connected algebras
Kengo Miyamoto, Qi Wang
We determine the representation-finiteness of , where both and are simply connected algebras with at least three simple modules.
Report on the finiteness of silting objects
Takuma Aihara, Takahiro Honma, Kengo Miyamoto +1
We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, one studies two classes of -tilting-fi…
On periodic stable Auslander-Reiten components containing Heller lattices over the symmetric Kronecker algebra
Kengo Miyamoto
Let be a complete discrete valuation ring, its quotient field, and the symmetric Kronecker algebra over . We consider the full subcateg…
Self-injective cellular algebras of polynomial growth representation type
Susumu Ariki, Ryoichi Kase, Kengo Miyamoto +1
We classify Morita equivalence classes of indecomposable self-injective cellular algebras which have polynomial growth representation type, assuming that the base field has an odd…
On the non-periodic stable Auslander--Reiten Heller component for the Kronecker algebra over a complete discrete valuation ring
Kengo Miyamoto
We consider the Kronecker algebra , where is a complete discrete valuation ring. Since is a special biserial algebra, whe…