WebApr 8, 2016 · DOI: 10.2140/pjm.2024.289.449 Corpus ID: 119309242; Cluster tilting modules and noncommutative projective schemes @article{Ueyama2016ClusterTM, title={Cluster tilting modules and noncommutative projective schemes}, author={Kenta Ueyama}, journal={arXiv: Rings and Algebras}, year={2016} } WebJul 19, 2024 · We study a condition when the functor is dense and full, in another word, the ideal quotient becomes abelian. Moreover, a new equivalent characterization of cluster …
Tilting and cluster tilting for quotient singularities
WebCluster tilting theory is one of the most active areas in recent representation theory which is closely related to the notion of Fomin–Zelevinsky cluster algebras. It has an aspect of higher dimensional analogue of Auslander–Reiten theory, which is based on the notion of higher almost split sequences and higher Auslander algebras. ... WebJan 15, 2011 · The concept of cluster tilting gives a higher analogue of classical Auslander correspondence between representation-finite algebras and Auslander algebras. The n … trevor on yellowstone
CLUSTER-TILTING SUBCATEGORIES IN EXTRIANGULATED CATEG…
WebMay 2, 2024 · Laertis Vaso. We give a characterization of -cluster tilting subcategories of representation-directed algebras based on the -Auslander-Reiten translations. As an application we classify acyclic Nakayama algebras with homogeneous relations which admit an -cluster tilting subcategory. Finally, we classify Nakayama algebras of global … WebJan 3, 2024 · We describe what it means for an algebra to be internally d-Calabi–Yau with respect to an idempotent.This definition abstracts properties of endomorphism algebras of \((d-1)\)-cluster-tilting objects in certain stably \((d-1)\)-Calabi–Yau Frobenius categories, as observed by Keller–Reiten.We show that an internally d-Calabi–Yau algebra … WebJan 1, 2016 · Moreover, for a 2-Calabi-Yau triangulated category C, it was showed in [1] that there is a close relation between cluster-tilting objects in C and support τ -tilting Λ-modules, where Λ is a 2 ... trevor osborne charitable trust