English

Yet another proof of the Ado theorem

Rings and Algebras 2018-07-31 v5 History and Overview Representation Theory

Abstract

We give a simple proof of the Birkhoff theorem about existence of a faithful representation for any finite-dimensional nilpotent Lie algebra of characteristic zero.

Keywords

Cite

@article{arxiv.1507.02233,
  title  = {Yet another proof of the Ado theorem},
  author = {Pasha Zusmanovich},
  journal= {arXiv preprint arXiv:1507.02233},
  year   = {2018}
}

Comments

v5: added two footnotes indicating some minor inaccuracies in proofs (all the results and the general scheme of reasoning remain valid)

R2 v1 2026-06-22T10:08:11.237Z