A survey on Auslander-Gorenstein algebras
Vikt\'oria Kl\'asz, Rene Marczinzik

TL;DR
This survey reviews Auslander-Gorenstein algebras, emphasizing recent classification results and their interactions with other algebraic bijections, mainly in the context of finite-dimensional algebras.
Contribution
It compiles recent advances in classifying Auslander-Gorenstein algebras and explores their connections with established algebraic bijections.
Findings
Recent classification results for special classes of Auslander-Gorenstein algebras.
New interactions between Auslander-Reiten bijections and other algebraic bijections.
Enhanced understanding of the structure of finite-dimensional Auslander-Gorenstein algebras.
Abstract
We give a survey on Auslander-Gorenstein algebras with a focus on finite-dimensional algebras. We put an emphasis on recent classification results for special classes of algebras and the newly discovered interactions of the Auslander-Reiten bijection with other well studied bijections in the literature.
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