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arxiv: 1311.1258 · v3 · pith:RSSYGJWJnew · submitted 2013-11-06 · 🧮 math.RT · math.RA

Derived equivalences between triangular matrix algebras

classification 🧮 math.RT math.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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