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arXiv · 2309.13964

Derived equivalences for mirror-reflective algebras

Hongxing Chen·Changchang Xi
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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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Hongxing Chen, Changchang Xi. 2023-09-25. Derived equivalences for mirror-reflective algebras. https://arxiv.org/abs/2309.13964

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