Mutation and torsion pairs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509080" target="_blank" >RIV/00216208:11320/25:10509080 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=acsp2j.99T" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=acsp2j.99T</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2140/ant.2025.19.1313" target="_blank" >10.2140/ant.2025.19.1313</a>

Result language
angličtina
Original language name
Mutation and torsion pairs
Original language description
Mutation of compact silting objects is a fundamental operation in the representation theory of finitedimensional algebras due to its connections to cluster theory and to the lattice of torsion pairs in moduleor derived categories. We develop a theory of mutation in the broader framework of silting or cosiltingt-structures in triangulated categories. We show that mutation of pure-injective cosilting objects encompasses the classical concept of mutation for compact silting complexes. As an application we prove that anyminimal inclusion of torsion classes in the category of finitely generated modules over an artinian ring corresponds to an irreducible mutation. This generalises a well-known result for functorially finite torsion classes
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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