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arXiv · 2407.02725

Derived preprojective algebras and spherical twist functors

Yuya Mizuno·Dong Yang
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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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Yuya Mizuno, Dong Yang. 2024-07-03. Derived preprojective algebras and spherical twist functors. https://arxiv.org/abs/2407.02725

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