论文标题
简单谎言组的厚实表示的分类
The classification of thick representations of simple Lie groups
论文作者
论文摘要
我们通过不可减少多重性,其权重posets完全有序的集合,以$ {\ bbb c} $的$ {\ bbb c} $表征有限维的厚表示。此外,使用此表征,我们将连接的复杂简单谎言组的$ {\ bbb c} $上的厚表示分类进行分类。
We characterize finite-dimensional thick representations over ${\Bbb C}$ of connected complex semi-simple Lie groups by irreducible representations which are weight multiplicity-free and whose weight posets are totally ordered sets. Moreover, using this characterization, we give the classification of thick representations over ${\Bbb C}$ of connected complex simple Lie groups.