# 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…

## One Citation

### Simples in a cotilting heart

- Mathematics
- 2022

. Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the derived category D (Mod- R ). We determine the simple objects in this heart and their injective…

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