English

Tilting-connected symmetric algebras

Representation Theory 2011-10-28 v2 Rings and Algebras

Abstract

The notion of silting mutation was introduced by Iyama and the author. In this paper we mainly study silting mutation for self-injective algebras and prove that any representation-finite symmetric algebra is tilting-connected. Moreover we give some sufficient conditions for a Bongartz-type Lemma to hold for silting objects.

Keywords

Cite

@article{arxiv.1012.3265,
  title  = {Tilting-connected symmetric algebras},
  author = {Takuma Aihara},
  journal= {arXiv preprint arXiv:1012.3265},
  year   = {2011}
}

Comments

17 pages

R2 v1 2026-06-21T16:58:57.008Z