10 citations · 18 across the 14 of their papers we have counts for
16 papers
Cyclotomic factors and irreducibility of the denominators of -deformed rational numbers
Kengo Miyamoto
For the -deformed modular group specialized at a primitive -th root of unity is the triangle group of type . Using this we determine the fractions for…
Conway Symbols of Frieze Patterns of Dynkin Types
Kengo Miyamoto, Ryuhei Suzuki
In this paper, we classify the Conway symbols of the Euclidean symmetry groups of frieze patterns of Dynkin types , , , , and . First, we show that t…
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…
Defect Spaces and Gram Operators for Tensor-Valued Incidence Maps
Kengo Miyamoto
We study vector-valued incidence maps obtained from ordinary graph incidence maps by linear observation of the free vertex space. Let be a field, a…
Arithmetic on -deformed rational numbers
Takeyoshi Kogiso, Kengo Miyamoto, Xin Ren +2
Recently, Morier-Genoud and Ovsienko introduced a -deformation of rational numbers. More precisely, for an irreducible fraction , they constructed coprime polynomia…
Uniform Cyclic Group Factorizations of Finite Groups
Kazuki Kanai, Kengo Miyamoto, Koji Nuida +1
In this paper, we introduce a kind of decomposition of a finite group called a uniform group factorization, as a generalization of exact factorizations of a finite group. A group $…
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…
Automorphism Shuffles for Graphs and Hypergraphs and Its Applications
Kazumasa Shinagawa, Kengo Miyamoto
In card-based cryptography, a deck of physical cards is used to achieve secure computation. A shuffle, which randomly permutes a card-sequence along with some probability distribut…
Graph Automorphism Shuffles from Pile-Scramble Shuffles
Kengo Miyamoto, Kazumasa Shinagawa
A pile-scramble shuffle is one of the most effective shuffles in card-based cryptography. Indeed, many card-based protocols are constructed from pile-scramble shuffles. This articl…
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…
Extremely scalable algorithm for 10-atom quantum material simulation on the full system of the K computer
Takeo Hoshi, Hiroto Imachi, Kiyoshi Kumahata +4
An extremely scalable linear-algebraic algorithm was developed for quantum material simulation (electronic state calculation) with 10 atoms or 100-nm-scale materials. The mathe…
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…
On components of stable Auslander-Reiten quivers that contain Heller lattices: the case of truncated polynomial rings
Susumu Ariki, Ryoichi Kase, Kengo Miyamoto
Let be a truncated polynomial ring over a complete discrete valuation ring , and we consider the additive category consisting of -lattices with the property…