English

On regular Lie algebras

Rings and Algebras 2022-11-15 v1

Abstract

We study so called regular Lie algebras, i.e. Lie algebras in which each nonzero element is regular. We make a connection with an open problem whether any element of reduced trace zero in a simple associative algebra is a commutator.

Keywords

Cite

@article{arxiv.2211.06640,
  title  = {On regular Lie algebras},
  author = {Pasha Zusmanovich},
  journal= {arXiv preprint arXiv:2211.06640},
  year   = {2022}
}

Comments

13 pages; for the latest version of this text, see https://web.osu.cz/~Zusmanovich/papers/

R2 v1 2026-06-28T05:43:35.698Z