The diagram for endomorphism algebras of two-term tilting complexes over self-injective algebras |
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Authors: | Hiroki Abe |
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Affiliation: | 1. Faculty of Communication Studies, Tokyo Keizai University, Kokubunji-shi, Tokyo, Japanabeh@tku.ac.jp |
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Abstract: | We construct a diagram between the endomorphism algebra of a two-term projective module complex over a self-injective algebra and the endomorphism algebras of its homology groups and apply the diagram to the tilting theory of self-injective algebras. We give an example of recovering the endomorphism algebra of a two-term tilting complex over a self-injective algebra from the endomorphism algebras of its homology groups with some additional structures which appear in the diagram. |
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Keywords: | Derived category tilting complex tilting module |
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