Some examples of silted algebras of Dynkin type

TL;DR

This paper explores silted algebras derived from Dynkin quivers, providing an algorithm to generate all basic 2-term silting complexes and illustrating their structure through examples.

Contribution

It introduces an algorithm for constructing all basic 2-term silting complexes over Dynkin quivers' path algebras, advancing understanding of silted algebra structures.

Findings

Developed an explicit algorithm for all basic 2-term silting complexes

Computed specific examples illustrating the structure of silted algebras

Enhanced classification methods for silted algebras of Dynkin type

Abstract

This paper studies silted algebras, namely, endomorphism algebras of 2-term silting complexes, over path algebras of Dynkin quivers. We will describe an algorithm to produce all basic 2-term silting complexes over the path algebra of a Dynkin quiver, and use this algorithm to compute some examples.