推导预投影代数和球扭函子

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-06-23 DOI:10.1112/blms.70127

Yuya Mizuno, Dong Yang

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引用次数: 0

摘要

我们通过给出泥沙物体、球扭函数和突变之间的直接关系，研究了在非环颤振的推导预投影代数上的泥沙物体。特别是对于Dynkin颤振，我们在推导出的预投影代数上建立了编织群元素与基本淤积物同构类集合之间的双射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Derived preprojective algebras and spherical twist functors

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Derived preprojective algebras and spherical twist functors

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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