= Koszul duality
{wiki=Koszul_duality}
Koszul duality is a concept in algebra that reveals a deep connection between certain classes of algebraic structures, particularly in homological algebra and representation theory. It primarily concerns the relationship between a graded algebra and its dual, particularly in the context of differential graded algebras (DGAs) and their modules. \#\#\# Basic Notions 1. **Graded Algebra**: A graded algebra is an algebra that is decomposed into a direct sum of abelian groups indexed by integers.
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