{"title":"Classification of G2-orbits for pairs of octonions","authors":"Artem Lopatin , Alexandr N. Zubkov","doi":"10.1016/j.jpaa.2025.107875","DOIUrl":null,"url":null,"abstract":"<div><div>Over an algebraically closed field, we described a minimal set of representatives for <span><math><msub><mrow><mi>G</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-orbits on the set <span><math><msup><mrow><mi>O</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> of pairs of octonions.</div></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 2","pages":"Article 107875"},"PeriodicalIF":0.7000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404925000143","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Over an algebraically closed field, we described a minimal set of representatives for -orbits on the set of pairs of octonions.
期刊介绍:
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.