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arXiv · 1903.00823

The Model Orbit in $G_2$

Man-Wai Cheung
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Abstract

In this article, we decompose the ring of regular functions on the nilpotent orbit of dimension 8 for the complex $G_2$ in which every irreducible representation of $G_2$ appears exactly once. This confirms the predication of McGovern and we have shown that his proposed representation attaching to this orbit is unitarizable.

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BibTeXRIS

Man-Wai Cheung. 2019-03-03. The Model Orbit in $G_2$. https://arxiv.org/abs/1903.00823

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