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Derived equivalences between triangular matrix algebras

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arxiv 1311.1258 v3 pith:RSSYGJWJ submitted 2013-11-06 math.RT math.RA

classification math.RTmath.RA
keywords algebrasderivedequivalencesmatrixtriangularrecollementstiltingactually
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In this paper we study derived equivalences between triangular matrix algebras using certain classical recollements. We show that special properties of these recollements actually characterize triangular matrix algebras, and describe methods to construct tilting modules and tilting complexes inducing derived equivalences between them.

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