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Derived equivalences between triangular matrix algebras

Published 6 Nov 2013 in math.RT and math.RA | (1311.1258v3)

Abstract: 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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