School Colloquium——Drinfeld-Sokolov Hierarchies and Diagram Automorphisms of Affine Kac-Moody Algebras
报告人:Prof. Siqi Liu(Department of Mathematical Sciences, Tsinghua University)
时间:2018-11-30 15:00-16:00
地点:Room 1114, Sciences Building No. 1
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. This is joint work with Chao-Zhong Wu,
Youjin Zhang, and Xu Zhou.