Separating G2-invariants of several octonions

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2024-10-21 DOI:10.2140/ant.2024.18.2157

Artem Lopatin, Alexandr N. Zubkov

引用次数: 0

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.

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分离多个八正离子的 G2 变体

我们描述了特征为二的代数封闭域上的八元数代数的几份 G2 变式的分离式。我们还得到了在奇特征域情况下几份八元数代数的 G2 变式的最小分离集和最小生成集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.