A differential graded approach to the silting theorem

TL;DR

This paper offers a new proof of the silting theorem, extending classical tilting theory, by employing differential graded algebras to provide a different perspective on the result.

Contribution

It introduces a differential graded algebra approach to prove the silting theorem, offering an alternative to existing proofs.

Findings

New proof of the silting theorem using differential graded algebras

Extension of classical tilting theory results

Potential for broader applications in representation theory

Abstract

A silting theorem was established by Buan and Zhou as a generalisation of the classical tilting theorem of Brenner and Butler. In this paper, we give an alternative proof of the theorem by using differential graded algebras.