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

被引：5

作者：

Liu, Si-Qi ^{[1
]}

Wu, Chao-Zhong ^{[2
]}

Zhang, Youjin ^{[1
]}

Zhou, Xu ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 375卷 / 01期

关键词：

INTEGRABLE HIERARCHIES; TAU-FUNCTIONS; KDV; SYMMETRIES; EQUATION;

D O I：

10.1007/s00220-019-03568-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：785 / 832

页数：48

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