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Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2010 (English)In: Manuscripta mathematica, ISSN 0025-2611, E-ISSN 1432-1785, Vol. 131, no 1-2, 1-10 p.Article in journal (Refereed) Published
Abstract [en]

We give a complete picture of the interaction between Koszul and Ringel dualities for quasi-hereditary algebras admitting linear tilting (co)resolutions of standard and costandard modules. We show that such algebras are Koszul, that the class of these algebras is closed with respect to both dualities and that on this class these two dualities commute. All arguments reduce to short computations in the bounded derived category of graded modules.

Place, publisher, year, edition, pages
2010. Vol. 131, no 1-2, 1-10 p.
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URN: urn:nbn:se:uu:diva-127379DOI: 10.1007/s00229-009-0313-0ISI: 000272532400001OAI: oai:DiVA.org:uu-127379DiVA: diva2:329731
Available from: 2010-07-13 Created: 2010-07-13 Last updated: 2011-03-01Bibliographically approved

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Algebra, Geometry and Logic
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