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math-ph2021★ 2 cited
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method
Boris Dubrovin, Daniele Valeri, Di Yang
For each affine Kac-Moody algebra of rank , , or , and for every choice of a vertex , , of the corresponding Dynkin diagram, by usi…
math-ph2017★ 1 cited
Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
Mattia Cafasso, Ann du Crest de Villeneuve, Di Yang
For a simple Lie algebra and an irreducible faithful representation of , we introduce the Schur polynomials of -type. We then der…