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
Derived preprojective algebras and spherical twist functors
Yuya Mizuno, Dong Yang
We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors and mutations. Esp…
math.RT2025
Dimensions of -tilting modules over path algebras and preprojective algebras of Dynkin type
Toshitaka Aoki, Yuya Mizuno
In this paper, we introduce a new generating function called -polynomial for the dimensions of -tilting modules over a given finite dimensional algebra. Firstly, we study ba…