Yuma Mizuno

collaborators

3 papers

math.RA2020

Difference equations arising from cluster algebras

Yuma Mizuno

We characterize Y/T-system type difference equations arising from cluster algebras by triples of matrices, which we call T-data, that have a certain symplectic property. We show th…

math.CO2018

Exponents Associated with $Y$ -Systems and their Relationship with $q$ -Series

Yuma Mizuno

Let $X_{r}$ be a finite type Dynkin diagram, and $ℓ$ be a positive integer greater than or equal to two. The $Y$ -system of type $X_{r}$ with level $ℓ$ is a system of algebraic re…

math.CO2018

Jacobian matrices of Y-seed mutations

Yuma Mizuno

For any quiver mutation sequence, we define a pair of matrices that describe a fixed point equation of a cluster transformation determined from the mutation sequence. We give an ex…

Difference equations arising from cluster algebras

Exponents Associated with Y-Systems and their Relationship with q-Series

Jacobian matrices of Y-seed mutations

Exponents Associated with $Y$ -Systems and their Relationship with $q$ -Series