# Laplace Operator and Polynomial Invariants

## Author

**Alexandre V. Iltyakov**

## Status

Research Report 97-23

Date: 4 Aug 1997

## Abstract

Let G be a simple linear algebraic group of type F_{4}
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

## Content

The paper is available in the following forms:
- TeX dvi format:
- 1997-23.dvi.gz (44kB) or
1997-23.dvi (119kB)

- PostScript:
- 1997-23.ps.gz (96kB) or
1997-23.ps (306kB)

##### To minimize network load, please choose the smaller gzipped .gz form if
and only if your browser client supports it.

Sydney Mathematics and Statistics