Tilting modules arising from two-term tilting complexes

Details Tilting modules arising from two-term tilting complexes Tilting modules arising from two-term tilting complexes

2011-04-04

arxiv.org/abs/1104.0627v2

Mathematics

Representation Theory

11 pages, revised version (ver. 2)

Scientific paper

We show that every two-term tilting complex over an Artin algebra has a tilting module over a certain factor algebra as a homology group. Also, we determine the endomorphism algebra of such a homology group, which is given as a certain factor algebra of the endomorphism algebra of the two-term tilting complex. Thus, every derived equivalence between Artin algebras given by a two-term tilting complex induces a derived equivalence between the corresponding factor algebras.

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