Generators of the preprojective CoHA of a quiver
Andrei Negu\c{t}
TL;DR
This paper refines a previous result by demonstrating that the localized preprojective cohomological Hall algebra of any quiver is spherical, meaning it is generated by elements of minimal dimension, thus clarifying its algebraic structure.
Contribution
It shows that the localized preprojective CoHA of any quiver is spherical, generated by minimal dimension elements, refining earlier work by Schiffmann-Vasserot.
Findings
The localized preprojective CoHA is spherical for any quiver.
It is generated by elements of minimal dimension.
The result refines previous findings by Schiffmann-Vasserot.
Abstract
In this short note, we refine a result of Schiffmann-Vasserot, by showing that the localized preprojective cohomological Hall algebra of any quiver is spherical, i.e. generated by elements of minimal dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics