Symmetric invariants related to representations of exceptional simple groups

Abstract

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

13 pages

References in corpus (1)

• Some semi-direct products with free algebras of symmetric invariants