Quiver Schur algebras and Koszul duality
Ruslan Maksimau
TL;DR
This paper establishes that the category of graded finitely generated representations of cyclotomic quiver Schur algebras exhibits Koszul duality, revealing deep structural properties of these algebraic objects.
Contribution
It proves that the category of graded finitely generated representations of cyclotomic quiver Schur algebras is a Koszul category, a significant structural insight.
Findings
The category is Koszul.
Structural understanding of cyclotomic quiver Schur algebras.
Implications for representation theory and algebraic dualities.
Abstract
We prove that the category of graded finitely generated representations of the the cyclotomic quiver Schur algebra is a Koszul category.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics