Drinfeld–Sokolov Hierarchies and Diagram Automorphisms of Affine Kac–Moody Algebras

Drinfeld–Sokolov Hierarchies and Diagram Automorphisms of Affine Kac–Moody Algebras
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DOI:
10.1007/s00220-019-03568-4
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发表时间:
2019
期刊:
Commun. Math. Phys.
影响因子:
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通讯作者:
Xu Zhou
Xu Zhou
中科院分区:
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文献类型:
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作者:
Si-Qi Liu;Chao-Zhong Wu;Youjin Zhang;Xu Zhou

文献摘要

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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.