# Coproduct for the Yangian of an affine Kac-Moody algebra

## TL;DR

This paper constructs a coproduct for the Yangian associated with an affine Kac-Moody algebra and proves its algebra homomorphism property, extending minimalistic presentations to symmetrizable cases.

## Contribution

It introduces a coproduct construction for Yangians of affine Kac-Moody algebras and establishes its algebra homomorphism property, generalizing minimalistic presentations.

## Key findings

- Coproduct for Yangian of affine Kac-Moody algebra constructed
- Proved coproduct is an algebra homomorphism
- Extended minimalistic presentation to symmetrizable Kac-Moody algebras

## Abstract

Given an affine Kac-Moody algebra, we explain how to construct a coproduct for its associated Yangian. In order to prove that this coproduct is an algebra homomorphism, we obtain, in the first half of this paper, a minimalistic presentation of the Yangian when the Kac-Moody algebra is, more generally, symmetrizable.