Weight function for the quantum affine algebra $U_q(A_2^{(2)})$

TL;DR

This paper provides an explicit formula for the universal weight function of the quantum twisted affine algebra $U_q(A_2^{(2)})$, advancing the understanding of its algebraic structure.

Contribution

It introduces a new explicit formula for the universal weight function of $U_q(A_2^{(2)})$, utilizing projections of Drinfeld currents onto Borel subalgebra intersections.

Findings

Derived an explicit formula for the weight function.

Applied projection techniques to Drinfeld currents.

Enhanced understanding of quantum affine algebra structures.

Abstract

In this article, we give an explicit formula for the universal weight function of the quantum twisted affine algebra $U_q(A_2^{(2)})$. The calculations use the technique of projecting products of Drinfeld currents onto the intersection of Borel subalgebras of different types.