Identifier
etd-03122010-131541
Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
Classical Koszul duality sets up an adjoint pair of functors establishing an equivalence of categories. The equivalence is between the bounded derived category of complexes of graded modules over a graded algebra and the bounded derived category of complexes of graded modules over the quadratic dual graded algebra. This duality can be extended in many ways. We consider here two extensions: first we wish to allow a multigraded algebra, meaning that the algebra can be graded by any abelian group (not just the integers). Second, we will allow filtered algebras. In fact we are considering filtered quadratic algebras with an (internal) multigrading.
Date
2010
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Recommended Citation
Hawwa, Fareed, "Koszul duality for multigraded algebras" (2010). LSU Doctoral Dissertations. 988.
https://repository.lsu.edu/gradschool_dissertations/988
Committee Chair
Hoffman, Jerome
DOI
10.31390/gradschool_dissertations.988