Derived equivalences for Cohen-Macaulay Auslander algebras

TL;DR

This paper proves that derived equivalences between Gorenstein Artin algebras of Cohen-Macaulay finite type imply derived equivalences between their Cohen-Macaulay Auslander algebras, establishing a transfer of derived equivalence.

Contribution

It demonstrates that derived equivalence of Gorenstein Artin algebras extends to their Cohen-Macaulay Auslander algebras, a new result in the theory of derived categories.

Findings

Derived equivalence transfers to Cohen-Macaulay Auslander algebras

Establishes a link between algebraic properties and their Auslander counterparts

Advances understanding of derived categories in Cohen-Macaulay representation theory

Abstract

Let $A$ and $B$ be Gorenstein Artin algebras of Cohen-Macaulay finite type. We prove that, if $A$ and $B$ are derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived equivalent.