On Polynomial Invariants of Exceptional Simple Algebraic Groups


Alberto Elduque and Alexandre V. Iltyakov


Research Report 97-9
Date: 12 March 1997


We study polynomial invariants of vector systems 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.

Key phrases

Algebraic groups. invariants. Jordan and structurable algebras.

AMS Subject Classification (1991)

Primary: 15A72
Secondary: 17C30,17C40


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