Derived preprojective algebras and spherical twist functors

Published 3 Jul 2024 in math.RT and math.CT | (2407.02725v3)

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.

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