Journal Name:
- European Journal of Pure and Applied Mathematics
| Author Name | University of Author |
|---|---|
Abstract (2. Language):
Classical Koszul duality sets up an adjoint pair of functors, establishing an equivalence
F : Db(A) ⇆ Db(A!) : G, where A is a quadratic algebra, A! is the quadratic dual, and Db refers to the
bounded derived category of complexes of graded modules over the graded algebra (i.e., A or A!). This
duality can be extended in many ways. We consider here two extensions: first we wish to allow a
-graded algebra, where is any abelian group (not just Z). Second, we will allow filtered algebras.
In fact we are considering filtered quadratic algebras with an (internal) -grading.
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FULL TEXT (PDF):
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511-539