R. Kase

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20112025

most citedRemarks on lengths of maximal green sequences for quivers of type

A ~_{n, 1}

9 citations · 25 across the 15 of their papers we have counts for

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math.RT2025

Fans and polytopes in tilting theory III: Classification of convex $g$ -fans of rank 3

Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2

The $g$ -fan $Σ (A)$ of a finite dimensional algebra $A$ is a non-singular fan in its real Grothendieck group, defined by tilting theory. If the union $P (A)$ of the simplices a…

math.RT2025

Frobenius--Perron dimension via $τ$ -tilting theory

Takahide Adachi, Ryoichi Kase

From the perspective of $τ$ -tilting theory, we study Frobenius--Perron dimensions of finite-dimensional algebras. First, we evaluate the Frobenius--Perron dimensions of $τ$ -tilting…

Fans and polytopes in tilting theory III: Classification of convex g-fans of rank 3

Frobenius--Perron dimension via τ-tilting theory

Fans and polytopes in tilting theory III: Classification of convex $g$ -fans of rank 3

Frobenius--Perron dimension via $τ$ -tilting theory