3 papers
math.CO2025
Finite type and completeness of -fans
Toshiya Yurikusa
We study the -fan associated with a skew-symmetrizable matrix in the sense of cluster algebras. We show that a skew-symmetrizable matrix is of finite type if and only if its …
math.RT2025
Stable Brauer-Thrall II' conjecture for finite-dimensional Jacobian algebras
Mohamad Haerizadeh, Toshiya Yurikusa
We prove that finite-dimensional Jacobian algebras associated with non-degenerate quivers with potentials satisfy the stable Brauer-Thrall II' conjecture. In particular, this impli…
math.RT2025
Finite-dimensional Jacobian algebras: Finiteness and tameness
Mohamad Haerizadeh, Toshiya Yurikusa
Finite-dimensional Jacobian algebras are studied from the perspective of representation types. We establish that (like other representation types) the notions of -finiteness and…