K. Miyamoto

activity

20142026

most citedReport on the finiteness of silting objects

10 citations · 18 across the 14 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math.NT2026

Cyclotomic factors and irreducibility of the denominators of $q$ -deformed rational numbers

Kengo Miyamoto

For $d \geq 2$ the $q$ -deformed modular group specialized at a primitive $d$ -th root of unity is the triangle group of type $(2, 3, d)$ . Using this we determine the fractions $r / s$ for…

math.CO2026

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 $A_{n}$ , $B_{n}$ , $C_{n}$ , $D_{n}$ , $F_{4}$ and $G_{2}$ . First, we show that t…

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.CO2026

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 $F$ be a field, $D = (X, E, s, t)$ a…

Cyclotomic factors and irreducibility of the denominators of q-deformed rational numbers

Conway Symbols of Frieze Patterns of Dynkin Types

Frobenius--Perron dimension and tensor products of algebras

Defect Spaces and Gram Operators for Tensor-Valued Incidence Maps

Cyclotomic factors and irreducibility of the denominators of $q$ -deformed rational numbers