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 $\Sigma (A)$ of a finite dimensional algebra $A$ is a non-singular fan in its real Grothendieck group, defined by tilting theory. If the union $\mathrm{P}(A)$ of the simplices a…