Fans and polytopes in tilting theory I: Foundations

Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2

For a finite dimensional algebra $A$ over a field $k$, the 2-term silting complexes of $A$ gives a simplicial complex $\Delta (A)$ called the $g$-simplicial complex. We give tilting theo…