Quiver subrepresentations and the Derksen-Weyman saturation property
Velleda Baldoni, Mich\`ele Vergne, Michael Walter
TL;DR
This paper provides a direct proof of the Derksen-Weyman saturation property for quiver subrepresentations using Schofield's characterization of dimension vectors.
Contribution
It offers a new, straightforward proof of the saturation property by leveraging Schofield's approach, simplifying previous methods.
Findings
Confirmed the Derksen-Weyman saturation property for quivers.
Connected Schofield's characterization with the saturation property.
Provided a more direct proof technique.
Abstract
Using Schofield's characterization of the dimension vectors of general subrepresentations of a representation of a quiver, we give a direct proof of the Derksen-Weyman saturation property.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Topics in Algebra