Koszul duality for multigraded algebras

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.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

Mathematics

Year dc:date.available

2010

Author dc:creator

• Hawwa, Fareed

• koszul duality

Statement dc:rights

• unrestricted
• Release the entire work immediately for access worldwide.

Identifier

etd-03122010-131541
https://repository.lsu.edu/gradschool_dissertations/988

OAI identifier oai:identifier

oai:repository.lsu.edu:gradschool_dissertations-1987