3 citations · 3 across the 4 of their papers we have counts for
5 papers
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 …
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…
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…
Dimension vectors of -rigid modules and -vectors of cluster monomials from triangulated surfaces
Toshiya Yurikusa
For the cluster algebra associated with a triangulated surface, we give a characterization of the triangulated surface such that different non-initial cluster monomia…
Tame algebras have dense -vector fans
Bernhard Keller, Pierre-Guy Plamondon, Toshiya Yurikusa
The -vector fan of a finite-dimensional algebra is a fan whose rays are the -vectors of its -term presilting objects. We prove that the -vect…