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arXiv · 2008.12437

The classification of thick representations of simple Lie groups

Kazunori Nakamoto·Yasuhiro Omoda
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Abstract

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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Kazunori Nakamoto, Yasuhiro Omoda. 2020-08-28. The classification of thick representations of simple Lie groups. https://arxiv.org/abs/2008.12437

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