Derived preprojective algebras and spherical twist functors
Representation Theory
2025-06-10 v3 Category Theory
Abstract
We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors and mutations. Especially, for a Dynkin quiver, we establish a bijection between the elements of the braid group and the set of isomorphism classes of basic silting objects over the derived preprojective algebra.
Cite
@article{arxiv.2407.02725,
title = {Derived preprojective algebras and spherical twist functors},
author = {Yuya Mizuno and Dong Yang},
journal= {arXiv preprint arXiv:2407.02725},
year = {2025}
}
Comments
Reference to [BDL] and [HW] added