Generating Functions with $\tau$-Invariance and Vertex Representations of Quantum Affine Algebras $U_{r,s}(\hat{\mathfrak{g}})$ (I): Simply-laced Cases

Naihong Hu, Honglian Zhang

We put forward the exact version of two-parameter generating functions with $\tau$-invariance, which allows us to give a unified and inherent definition for the Drinfeld realization o…