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Separating $G_2$-invariants of several octonions

Artem Lopatin and Alexandr N. Zubkov
Vol. 18 (2024), No. 12, 2157–2177
DOI: 10.2140/ant.2024.18.2157
Abstract

We describe separating G2-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 G2-invariants of several copies of the algebra of octonions in case of a field of odd characteristic.

Keywords
polynomial invariants, exceptional groups, separating set, generating set, matrix invariants, positive characteristic
Mathematical Subject Classification
Primary: 14L30, 17A75, 17D05, 20F29, 20G05
Milestones
Received: 29 August 2022
Revised: 19 August 2023
Accepted: 18 December 2023
Published: 21 October 2024
Authors
Artem Lopatin
Departamento de Matemática
Universidade Estadual de Campinas (UNICAMP)
Campinas
Brazil
Alexandr N. Zubkov
Department of Mathematical Sciences
United Arab Emirates University
Abu Dhabi
United Arab Emirates		 Sobolev Institute of Mathematics
Omsk Branch
Omsk
Russia
© 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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