Abstract
We characterize finite-dimensional thick representations over $\mathbf{C}$ 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 $\mathbf{C}$ of connected complex simple Lie groups.
Funding Statement
The first author was partially supported by JSPS KAKENHI Grant Number JP23540044, JP15K04814, JP20K03509.
Citation
Kazunori Nakamoto. Yasuhiro Omoda. "The classification of thick representations of simple Lie groups." Kodai Math. J. 45 (2) 259 - 269, June 2022. https://doi.org/10.2996/kmj45204
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