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On Polynomial Invariants of Exceptional Simple Algebraic Groups

Published:1999-06-01
Printed: Jun 1999
• A. Elduque
• A. V. Iltyakov
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Abstract

We study polynomial invariants of systems of vectors with respect to exceptional simple algebraic groups in their minimal linear representations. For each type we prove that the algebra of invariants is integral over the subalgebra of trace polynomials for a suitable algebraic system (\cf\ \cite{Schw1}, \cite{Schw2}, \cite{Ilt}).
 MSC Classifications: 15A72 - Vector and tensor algebra, theory of invariants [See also 13A50, 14L24] 17C20 - Simple, semisimple algebras

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