3 papers
math.RT2025
Fans and polytopes in tilting theory III: Classification of convex -fans of rank 3
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
The -fan of a finite dimensional algebra is a non-singular fan in its real Grothendieck group, defined by tilting theory. If the union of the simplices…
math.RT2025
Frobenius--Perron dimension via -tilting theory
Takahide Adachi, Ryoichi Kase
From the perspective of -tilting theory, we study Frobenius--Perron dimensions of finite-dimensional algebras. First, we evaluate the Frobenius--Perron dimensions of -tilti…
math.RT2024
Fans and polytopes in tilting theory I: Foundations
Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2
For a finite dimensional algebra over a field , the 2-term silting complexes of gives a simplicial complex called the -simplicial complex. We give tilting the…