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Subcategory Classifications in Tensor Triangulated Categories
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2011 (English)MasteroppgaveStudent thesis
Abstract [en]
It is known that the thick tensor-ideal subcategories in a tensor triangulated cate- gory can be classified via its prime ideal spectrum. We use this to provide new proofs of two well-known classifications theorems: that of the thick tensor-closed triangulated subcategories of the stable category of modules over a finite group algebra, and that of the thick triangulated subcategories of the derived category of perfect complexes over a commutative Noetherian ring.
Place, publisher, year, edition, pages
Institutt for matematiske fag , 2011. , 63 p.
Keyword [no]
ntnudaim:5847, MLREAL Lektorutdanning med master i realfag, Fysikk og matematikk
URN: urn:nbn:no:ntnu:diva-12938Local ID: ntnudaim:5847OAI: diva2:427900
Available from: 2011-06-29 Created: 2011-06-29

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