Derived equivalences between triangular matrix algebras |
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| Authors: | Liping Li |
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| Affiliation: | Key Laboratory of Performance Computing and Stochastic Information Processing (Ministry of Education), College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan, China |
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| 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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| Keywords: | Derived equivalences tilting objects triangular matrix algebras |
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