论文标题
部分可观测时空混沌系统的无模型预测
Automorphisms of real semisimple Lie algebras and their restricted root systems
论文作者
论文摘要
我们证明，在正确定义的情况下，真实半圣经的限制根系的每一个自动形态可以提升为谎言代数的自动形态。特别是，这可以应用于受限根系的Dynkin图的自动形态。我们还讨论了该结果的某些应用，以对非竞争类型的对称空间理论。
We prove that every automorphism of the restricted root system of a real semisimple Lie algebra -- when defined properly -- can be lifted to an automorphism of that Lie algebra. In particular, this can be applied to automorphisms of the Dynkin diagram of the restricted root system. We also discuss some applications of this result to the theory of symmetric spaces of noncompact type.
