2 papers
math.RT2026
The Hom-Ext quiver and applications to exceptional collections
Kiyoshi Igusa, Ray Maresca
We study what we call the Hom-Ext quiver and characterize it as a type of `superquiver'. In type , the Hom-Ext quiver of an exceptional set is the tiling algebr…
math.RT2025
Exceptional sequences of type and those in the abelian tube
Kiyoshi Igusa, Emre Sen
We examine clusters in the cluster tube of rank using exceptional sequences in the abelian tube of rank . Although the abelian tube has more exceptional sequences than t…