Laplace Operator and Polynomial Invariants


Alexandre V. Iltyakov


Research Report 97-23
Date: 4 Aug 1997


Let G be a simple linear algebraic group of type F4 over an algebraically closed field of characteristic zero. We describe generators of the algebra of invariants of a system of vectors of a minimal irreducible representatioin of G in terms of trace polynomials of an exceptional simple Jordan algebra (the Albert algebra) and Laplace operators.

Key phrases

Algebraic groups. invariants. Jordan algebras.

AMS Subject Classification (1991)

Primary: 15A72
Secondary: 17C30


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