Quiver subrepresentations and the Derksen-Weyman saturation property

2025/06/30 by Velleda Baldoni, Baldoni, Velleda, Michèle Vergne +3
Mathematics · #Algebraic structures and combinatorial models #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2506.23633

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.

Citations

• Semi-invariants of quivers for arbitrary dimension vectors
• The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture

Related

• Dimension expanders via quiver representations
• On the number of subrepresentations of a general quiver representation
• PrIncipal quiver Grassmannians: conjectures
• Extremality of principal quiver Grassmannians
• Expander representations of quivers