The Model Orbit in G₂

2019/03/03 by Man-Wai Cheung, Cheung, Man-Wai
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1903.00823

Abstract

In this article, we decompose the ring of regular functions on the nilpotent orbit of dimension 8 for the complex G₂ in which every irreducible representation of G₂ 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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