Derived equivalences for mirror-reflective algebras
Representation Theory
2023-09-26 v1 Rings and Algebras
Abstract
We show that the construction of mirror-reflective algebras inherits derived equivalences of gendo-symmetric algebras. More precisely, suppose A and B are gendo-symmetric algebras with both Ae and Bf faithful projective-injective left ideals generated by idempotents e in A and f in B, respectively. If A and B are derived equivalent, then the mirror-reflective algebras of (A,e) and (B,f) are derived equivalent.
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Cite
@article{arxiv.2309.13964,
title = {Derived equivalences for mirror-reflective algebras},
author = {Hongxing Chen and Changchang Xi},
journal= {arXiv preprint arXiv:2309.13964},
year = {2023}
}
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15 pages