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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Drinfeld-Sokolov 层次结构和仿射 Kac-Moody 代数的图自同构
DOI：
10.1007/s00220-019-03568-4
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发表时间：
2019
影响因子：
2.4
通讯作者：
Xu Zhou
中科院分区：
文献类型：
--
作者：
Si-Qi Liu;Chao-Zhong Wu;Youjin Zhang;Xu Zhou
对于一个仿射Kac-Moody代数的图自同构，使得折叠图仍然是仿射Dynkin图，我们证明了相关的Drinfeld-Sokolov层次也承认一个诱导自同构。然后，我们展示了如何获得的Drinfeld-Sokolov层次的仿射Kac-Moody代数，对应于折叠Dynkin图从原来的Drinfeld-Sokolov层次的不变子层次。
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.