Calabi-Yau property of Hopf algebras Hasselt University
Calabi-Yau categories came from Mathematical Physics and Algebraic Geometry. The Serre functor in the bounded derived category of coherent sheaves on a Calabi-Yau variety is an iteration of the shift functor. Triangulated categories with this property are called Calabi-Yau categories. An algebra is a Calabi-Yau algebra, if the associated bounded derived category of all finite dimensional modules is a Calabi-Yau category. From this definition, a ...