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Koszul Duality for Multigraded Algebras

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author

AMS Codes:

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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  • 4
511-539
  • English

REFERENCES

References: 

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