Separating G_2-invariants of several octonions

Fuente: arXiv
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Main Authors: Lopatin, Artem, Zubkov, Alexandr N.
Format: Preprint
Published: 2022
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author Lopatin, Artem
Zubkov, Alexandr N.
author_facet Lopatin, Artem
Zubkov, Alexandr N.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2209_12620
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Separating G_2-invariants of several octonions
Lopatin, Artem
Zubkov, Alexandr N.
Rings and Algebras
Algebraic Geometry
Representation Theory
20G05, 14L30, 17A75, 17D05, 20F29
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.
title Separating G_2-invariants of several octonions
topic Rings and Algebras
Algebraic Geometry
Representation Theory
20G05, 14L30, 17A75, 17D05, 20F29
url https://arxiv.org/abs/2209.12620