English

Adjoint orbits of real affine Lie algebras

Symplectic Geometry 2021-11-02 v1

Abstract

In this paper we find a representative of each orbit of the adjoint action of a real affine classical group of its Lie algebra. These orbits are not determined by the usual Jordan invariants of eigenvalues and block sizes, but require a noneigenvalue parameter called a modulus.

Keywords

Cite

@article{arxiv.2111.00335,
  title  = {Adjoint orbits of real affine Lie algebras},
  author = {Richard Cushman},
  journal= {arXiv preprint arXiv:2111.00335},
  year   = {2021}
}