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

The paper is available in the following forms:

TeX dvi format:: 1997-4.dvi.gz (32kB) or 1997-4.dvi (85kB)
PostScript:: 1997-4.ps.gz (71kB) or 1997-4.ps (234kB)

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

Sydney Mathematics and Statistics