Separating G2-invariants of several octonions

Separating G2-invariants of several octonions Full article

Journal

Algebra and number theory
ISSN: 1937-0652 , E-ISSN: 1944-7833

Output data

Year: 2024, Volume: 18, Number: 12, Pages: 2157-2177 Pages count : 21 DOI: 10.2140/ant.2024.18.2157

Tags

exceptional groups, generating set, matrix invariants, polynomial invariants, positive characteristic, separating set

Authors

Lopatin Artem ¹ , Zubkov Alexandr N. ^2,3

Affiliations

1	Departamento de Matemática Universidade Estadual de Campinas (UNICAMP) Campinas Brazil
2	Department of Mathematical Sciences United Arab Emirates University Abu Dhabi United Arab Emirates
3	Sobolev Institute of Mathematics Omsk Branch Omsk Russia

Funding (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

FWNF-2022-0003

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.

Lopatin A. , Zubkov A.N.
Separating G2-invariants of several octonions
Algebra and number theory. 2024. V.18. N12. P.2157-2177. DOI: 10.2140/ant.2024.18.2157 WOS Scopus РИНЦ OpenAlex

Submitted:	Aug 29, 2022
Accepted:	Dec 18, 2023
Published print:	Oct 21, 2024
Published online:	Oct 21, 2024

Web of science:	WOS:001354860100002
Scopus:	2-s2.0-85208595751
Elibrary:	74929287
OpenAlex:	W4403659453

DB	Citing
Web of science	2
Scopus	4
Elibrary	2
OpenAlex	1