Tilting and Cluster Tilting for Preprojective Algebras and Coxeter Groups

DOI10.1093/imrn/rnx265zbMath1454.16013arXiv1607.00637OpenAlexW2963099366MaRDI QIDQ5206088

Yuta Kimura

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00637

zbMATH Keywords

Cohen-Macaulay modulescluster categorypreprojective algebra

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Categories of topological spaces and continuous mappings (18F60) Tricategories, weak (n)-categories, coherence, semi-strictification (18N20)

Related Items (10)

Two-term tilting complexes for preprojective algebras of non-Dynkin type ⋮ Representation Theory of Geigle-Lenzing Complete Intersections ⋮ Yoneda algebras and their singularity categories ⋮ The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras ⋮ Bricks over preprojective algebras and join-irreducible elements in Coxeter groups ⋮ TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE ⋮ Homological dimension formulas for trivial extension algebras ⋮ Singularity categories of Gorenstein monomial algebras ⋮ Morita theorem for hereditary Calabi-Yau categories ⋮ Singularity categories of derived categories of hereditary algebras are derived categories

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