Cohomology rings, differential graded algebras and derived equivalences
Representation Theory
2019-08-13 v2 Commutative Algebra
Rings and Algebras
Abstract
In this paper, we will consider derived equivalences for differential graded endomorphism algebras by Keller's approaches. First we construct derived equivalences of differential graded algebras which are endomorphism algebras of the objects from a triangle in the homotopy category of differential graded algebras. We also obtain derived equivalences of differential graded endomorphism algebras from a standard derived equivalence of finite dimensional algebras. Moreover, under some conditions, the cohomology rings of these differential graded endomorphism algebras are also derived equivalent. Then we give an affirmative answer to a problem of Dugas \cite{Dugas2015} in some special case.
Keywords
Cite
@article{arxiv.1610.08191,
title = {Cohomology rings, differential graded algebras and derived equivalences},
author = {Shengyong Pan and Zhen Peng and Jie Zhang},
journal= {arXiv preprint arXiv:1610.08191},
year = {2019}
}
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