• Corpus ID: 245769612

Mutation and torsion pairs

@inproceedings{Hugel2022MutationAT,
  title={Mutation and torsion pairs},
  author={Lidia Angeleri Hugel and Rosanna Laking and Jan vSvtov'ivcek and Jorge Vit'oria},
  year={2022}
}
Mutation of compact silting objects is a fundamental operation in the representation theory of finite-dimensional algebras due to its connections to cluster theory and to the lattice of torsion pairs in module or derived categories. In this paper we develop a theory of mutation in the broader framework of silting or cosilting t-structures in triangulated categories. We show that mutation of pure-injective cosilting objects encompasses the classical concept of mutation for compact silting… 
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TLDR
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