Conjugacy of Isometries in Real Orthogonal Groups
Representation Theory
2026-05-13 v1
Abstract
We determine all orthogonal transformations of a quadratic space over reals such that any orthogonal transformation which is conjugate to one of them in the linear group is conjugate in the orthogonal group.
Cite
@article{arxiv.2605.12083,
title = {Conjugacy of Isometries in Real Orthogonal Groups},
author = {Ziyang Zhu},
journal= {arXiv preprint arXiv:2605.12083},
year = {2026}
}
Comments
147 kb, 12 pages, comments welcome!