Trends in Representation Theory of Algebras and Related Topics
Full-Text PDF (185 KB) | Book articles | Book details
We review the definition of a Calabi–Yau triangulated category and survey examples coming from the representation theory of quivers and finite-dimensional algebras. Our main motivation comes from the links between quiver representations and Fomin–Zelevinsky’s cluster algebras.
Keywords: Triangulated category, Calabi–Yau category, cluster algebra