# On Generators of the Algebra of Polynomial Invariants of Group F_4

## Author

**Alexander Iltyakov**

## Status

Research Report 97-4
Date: February 3, 1997

## Abstract

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

## Content

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