English

Engel's theorem in Mathlib

Logic in Computer Science 2023-04-21 v1 Representation Theory

Abstract

We discuss the theory of Lie algebras in Lean's Mathlib library. Using nilpotency as the theme, we outline a computer formalisation of Engel's theorem and an application to root space theory. We emphasise that all arguments work with coefficients in any commutative ring.

Keywords

Cite

@article{arxiv.2304.10424,
  title  = {Engel's theorem in Mathlib},
  author = {Oliver Nash},
  journal= {arXiv preprint arXiv:2304.10424},
  year   = {2023}
}
R2 v1 2026-06-28T10:12:40.773Z