Three kinds of mutation

JOURNAL OF ALGEBRA

卷:339

Article

Buan, Aslak Bakke¹  Reiten, Idun¹  Thomas, Hugh² 

[1] Norges Teknisk Naturvitenskapelige Univ, Inst Matemat Fag, N-7491 Trondheim, Norway

[2] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 1J4, Canada

关键词: Cluster categories;    Exceptional sequences;    Mutation;    Tilting theory;   

DOI  :  10.1016/j.jalgebra.2011.04.030

来源: Elsevier

【 摘 要 】

For a finite-dimensional hereditary algebra H, we consider: exceptional sequences in mod H, silting objects in the bounded derived category D, and m-cluster tilting objects in the m-cluster category, C-m = /T-tau(-1)[m]. There are mutation operations on both the set of m-cluster tilting objects and the set of exceptional sequences. It is also possible to define a mutation operation for silting objects. We compare these three different notions of mutation. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free