Almost Koszul algebras and stably Calabi-Yau algebras

Abstract

We discuss different properties of Frobenius almost Koszul algebras of periodic type. We describe their bimodule projective resolutions and their relations with twisted superpotentials. We give a sufficient condition for a Frobenius almost Koszul algebra of periodic type to be stably Calabi-Yau. We also discuss the stably Calabi-Yau property of skew group algebras. © 2011 Elsevier B.V.