On Generators of the Algebra of Polynomial Invariants of Group F_4
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.
linear algebraic groups. polynomial invariants. Jordan algebras.
AMS Subject Classification (1991)
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