English

Classification of G_2-orbits for pairs of octonions

Rings and Algebras 2025-01-15 v3

Abstract

Over an algebraically closed field, we described a minimal set of representatives for G_2-orbits on the set of pairs of octonions.

Keywords

Cite

@article{arxiv.2208.08122,
  title  = {Classification of G_2-orbits for pairs of octonions},
  author = {Artem Lopatin and Alexandr N. Zubkov},
  journal= {arXiv preprint arXiv:2208.08122},
  year   = {2025}
}

Comments

13 pages. Version 2 contains essential extension of the results obtained in version 1. Version 3 is a more concise exposition of the results from version 2