Self-injective algebras under derived equivalences
Representation Theory
2024-10-29 v3 Rings and Algebras
Abstract
The Nakayama permutations of two derived equivalent, self-injective Artin algebras are conjugate. A different but elementary approach is given to showing that the weak symmetry and self-injectivity of finite-dimensional algebras over an arbitrary field are preserved under derived equivalences.
Cite
@article{arxiv.2310.04012,
title = {Self-injective algebras under derived equivalences},
author = {Changchang Xi and Jin Zhang},
journal= {arXiv preprint arXiv:2310.04012},
year = {2024}
}
Comments
11 pages. Corollary 5.5 is reformulated