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

Nakamoto, Kazunori, Omoda, Yasuhiro

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.

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