English

Examples of tilting-discrete self-injective algebras which are not silting-discrete

Representation Theory 2021-06-01 v2

Abstract

In this paper, we introduce the notion of ν\nu-stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where ν\nu is a triangle auto-equivalence of the bounded homotopy category of finitely generated projective modules. Moreover, we give an example of tilting-discrete self-injective algebras which are not silting-discrete.

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Cite

@article{arxiv.2012.14119,
  title  = {Examples of tilting-discrete self-injective algebras which are not silting-discrete},
  author = {Takahide Adachi and Ryoichi Kase},
  journal= {arXiv preprint arXiv:2012.14119},
  year   = {2021}
}

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27 pages