Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials

Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang

For a simple Lie algebra $\mathfrak{g}$ and an irreducible faithful representation $\pi$ of $\mathfrak{g}$, we introduce the Schur polynomials of $(\mathfrak{g},\pi )$-type. We then der…