Negative cluster categories from simple minded collection quadruples
DOI10.1080/00927872.2022.2044486OpenAlexW3108929334MaRDI QIDQ5085167
Publication date: 27 June 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.14926
limits and colimitsquotient categoriesHom-spacestruncation triangles\((-\mathbf{d})\)-Calabi-Yau triple\((\mathbf{d}+1)\)-simple minded systemnegative cluster categorySMC quadruple
Differential graded algebras and applications (associative algebraic aspects) (16E45) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Derived categories, triangulated categories (18G80)
Related Items (1)
Cites Work
- Unnamed Item
- Cluster tilting objects in generalized higher cluster categories.
- Hom-configurations and noncrossing partitions.
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Simple objects in the heart of a \(t\)-structure
- Noncommutative projective schemes
- Auslander-Reiten theory via Brown representability
- Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object
- Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
- Defining an \(m\)-cluster category.
- Tilting theory and cluster combinatorics.
- Properties of triangulated and quotient categories arising from \(n\)-Calabi-Yau triples
- Cluster algebras I: Foundations
- Silting reduction and Calabi–Yau reduction of triangulated categories
- Quotients of triangulated categories and Equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller
- Simple-minded systems and reduction for negative Calabi-Yau triangulated categories
This page was built for publication: Negative cluster categories from simple minded collection quadruples