English

Normal forms of nilpotent elements in semisimple Lie algebras

Representation Theory 2021-06-30 v4

Abstract

We find the normal form of nilpotent elements in semisimple Lie algebras that generalizes the Jordan normal form in slN\mathfrak{sl}_N, using the theory of cyclic elements.

Keywords

Cite

@article{arxiv.2103.00261,
  title  = {Normal forms of nilpotent elements in semisimple Lie algebras},
  author = {Mamuka Jibladze and Victor G. Kac},
  journal= {arXiv preprint arXiv:2103.00261},
  year   = {2021}
}
R2 v1 2026-06-23T23:34:13.248Z