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arXiv · 1811.10137

Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras

Si-Qi Liu·Chao-Zhong Wu·Youjin Zhang·Xu Zhou
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Abstract

For a diagram automorphism of an affine Kac-Moody algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld-Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinfeld-Sokolov hierarchy associated to the affine Kac-Moody algebra that corresponds to the folded Dynkin diagram from the invariant sub-hierarchy of the original Drinfeld-Sokolov hierarchy.

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Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang, Xu Zhou. 2018-11-26. Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras. https://doi.org/10.1007/s00220-019-03568-4

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