Some algebras that are not silting connected

JOURNAL OF ALGEBRA

卷:567

Article

Dugas, Alex¹ 

[1] Univ Pacific, Dept Math, 3601 Pacific Ave, Stockton, CA 95211 USA

关键词: Silting complex;    Silting mutation;    Spherical twist;   

DOI  :  10.1016/j.jalgebra.2020.09.028

来源: Elsevier

【 摘 要 】

We give examples of finite-dimensional algebras A for which the silting objects in K-b(proj -A) are not connected by any sequence of (possibly reducible) silting mutations. The argument is based on the fact that silting mutation preserves invariance under twisting by a fixed algebra automorphism, combined with the existence of spherical modules that are not invariant under such a twist. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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