Classification of G_2-orbits for pairs of octonions
Artem Lopatin, Alexandr N. Zubkov
TL;DR
This paper classifies the orbits of pairs of octonions under the action of the G_2 group over an algebraically closed field, providing a minimal set of representatives.
Contribution
It offers a minimal classification of G_2-orbits on pairs of octonions, advancing understanding of octonion symmetry structures.
Findings
Minimal set of G_2-orbit representatives identified
Complete classification over algebraically closed fields
Enhanced understanding of octonion symmetry actions
Abstract
Over an algebraically closed field, we described a minimal set of representatives for G_2-orbits on the set of pairs of octonions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Advanced Differential Equations and Dynamical Systems