Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras
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
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.
IdentifiersURN: urn:nbn:se:uu:diva-127379DOI: 10.1007/s00229-009-0313-0ISI: 000272532400001OAI: oai:DiVA.org:uu-127379DiVA: diva2:329731