Coproduct of modified Drinfeld-Cartan series for Yangians and quantum affine algebras in type A

TL;DR

This paper provides explicit formulas for coproducts of modified Drinfeld-Cartan series in type A Yangians and quantum affine algebras, along with a presentation of positive prefundamental representations in type A2.

Contribution

It introduces explicit coproduct formulas for these algebraic structures and presents a new explicit description of positive prefundamental representations in type A2.

Findings

Explicit coproduct formulas for type A Yangians and quantum affine algebras.

Presentation of positive prefundamental representations in type A2.

Enhanced understanding of algebraic structures in quantum groups.

Abstract

We give explicit formulas for the coproducts of modified Drinfeld-Cartan generating series for the Yangian in type $A$ and for the quantum affine algebras in the particular type $A_2$. As an auxiliary result of the latter, we give an explicit presentation of positive prefundamental representations of the quantum affine algebra in the particular type $A_2$