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- Title
Drinfeld–Sokolov Hierarchies and Diagram Automorphisms of Affine Kac–Moody Algebras.
- Authors
Liu, Si-Qi; Wu, Chao-Zhong; Zhang, Youjin; Zhou, Xu
- 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.
- Subjects
KAC-Moody algebras; AUTOMORPHISMS; DYNKIN diagrams; HIERARCHIES; AFFINE algebraic groups; CHARTS, diagrams, etc.
- Publication
Communications in Mathematical Physics, 2020, Vol 375, Issue 1, p785
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-019-03568-4