3 papers
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 be a field, a…
math.CO2024
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…