Classification of G2-orbits for pairs of octonions

Artem Lopatin; Alexandr N. Zubkov

doi:10.1016/j.jpaa.2025.107875

Classification of G₂-orbits for pairs of octonions

Artem Lopatin
, Alexandr N. Zubkov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Over an algebraically closed field, we described a minimal set of representatives for G₂-orbits on the set O² of pairs of octonions.

Original language	English
Article number	107875
Journal	Journal of Pure and Applied Algebra
Volume	229
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2025.107875
Publication status	Published - Feb 2025

Keywords

Exceptional groups
Octonions
Positive characteristic

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2025.107875

Cite this

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title = "Classification of G2-orbits for pairs of octonions",

abstract = "Over an algebraically closed field, we described a minimal set of representatives for G2-orbits on the set O2 of pairs of octonions.",

keywords = "Exceptional groups, Octonions, Positive characteristic",

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year = "2025",

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AU - Zubkov, Alexandr N.

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AB - Over an algebraically closed field, we described a minimal set of representatives for G2-orbits on the set O2 of pairs of octonions.

KW - Exceptional groups

KW - Octonions

KW - Positive characteristic

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