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arXiv · 1609.01914

Symmetric invariants related to representations of exceptional simple groups

Dmitri I. Panyushev·Oksana S. Yakimova
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Abstract

We classify the finite-dimensional rational representations $V$ of the exceptional algebraic groups $G$ with $\mathfrak g={\sf Lie}(G)$ such that the symmetric invariants of the semi-direct product $\mathfrak g\ltimes V$, where $V$ is an Abelian ideal, form a polynomial ring.

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Dmitri I. Panyushev, Oksana S. Yakimova. 2017-05-07. Symmetric invariants related to representations of exceptional simple groups. https://doi.org/10.1090/mosc%2F261

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