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This work aims to construct finite-dimensional representations of Yangian algebras using quivers associated with A-type Dynkin diagrams.

Quiver Yangian algebras associated to Dynkin diagrams of A-type and their rectangular representations

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Work constructs quiver representations of Yangian algebras in connection with A-type Dynkin diagrams, suggesting effective representation techniques.

This work aims to construct finite-dimensional representations of Yangian algebras using quivers associated with A-type Dynkin diagrams.
Constructed quiver Yangians from A-type Dynkin diagrams.
Developed representations with a single non-zero Dynkin label.
Utilized equivariant integration over quiver moduli spaces for construction.
Established connections to Gelfand-Tsetlin bases for sl_n algebras.
Demonstrated effective construction of representations using the quiver approach.
Showed that resulting Yangians exhibit significant algebraic properties.
Established isomorphism to the second Drinfeld realization.

Alexei Gavshin (2026) studied this question.

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Work constructs quiver representations of Yangian algebras in connection with A-type Dynkin diagrams, suggesting effective representation techniques.