Separating G_2-invariants of several octonions

Abstract

We describe separating G_2-invariants of several copies of the algebra of octonions over an algebraically closed field of characteristic two. We also obtain a minimal separating and a minimal generating set for G_2-invariants of several copies of the algebra of octonions in case of a field of odd characteristic.

20 pages

Cited by in corpus (2)

• Classification of G_2-orbits for pairs of octonions
• On m-tuples of nilpotent 2x2 matrices over an arbitrary field