| Type of Document |
Dissertation |
| Author |
Hawwa, Fareed
|
| Author's Email Address |
fhawwa1@lsu.edu, fth200@nyu.edu |
| URN |
etd-03122010-131541 |
| Title |
Koszul Duality for Multigraded Algebras |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Hoffman, Jerome |
Committee Chair |
| Delzell, Charles |
Committee Member |
| Litherland, Richard |
Committee Member |
| Neubrander, Frank |
Committee Member |
| Perlis, Robert |
Committee Member |
| Chen, Jianhua |
Dean's Representative |
|
| Keywords |
|
| Date of Defense |
2009-12-01 |
| Availability |
unrestricted |
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.
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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Dissertation.pdf |
252.68 Kb |
00:01:10 |
00:00:36 |
00:00:31 |
00:00:15 |
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