
TL;DR
This paper introduces a new coproduct structure on Yangians linked to quiver varieties, utilizing convolution algebras and perverse sheaves to deepen understanding of their algebraic properties.
Contribution
It defines a novel family of homomorphisms on convolution algebras of quiver varieties, establishing a coproduct on Yangians for symmetric Kac-Moody Lie algebras.
Findings
New coproduct on Yangians derived from quiver varieties
Homomorphisms on convolution algebras constructed and analyzed
Properties studied using perverse sheaves
Abstract
We define a family of homomorphisms on a collection of convolution algebras associated with quiver varieties, which gives a kind of coproduct on the Yangian associated with a symmetric Kac-Moody Lie algebra. We study its property using perverse sheaves
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