On Generators of the Algebra of Polynomial Invariants of Group F_4


Alexander Iltyakov


Research Report 97-4 Date: February 3, 1997


We describe the algebra of polynomial invariants of a system of 3 vectors of an irreducible 26-dimensional representation of a simple algebraic group of type F_4 (the ground field is algebraically closed of characteristic zero). Generators are given in the form of trace polynomials of the Albert algebra (an exceptional simple Jordan algebra); a system of homogeneous parameters and a basis over it are also found.

Key phrases

linear algebraic groups. polynomial invariants. Jordan algebras.

AMS Subject Classification (1991)

Primary: 15A72
Secondary: 17C30


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