English

Noetherian enveloping algebras of simple graded Lie algebras

Rings and Algebras 2024-12-19 v2

Abstract

It is shown that if the universal enveloping algebra of a simple Zn\mathbb Z^n-graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.

Keywords

Cite

@article{arxiv.2405.15235,
  title  = {Noetherian enveloping algebras of simple graded Lie algebras},
  author = {Nicolás Andruskiewitsch and Olivier Mathieu},
  journal= {arXiv preprint arXiv:2405.15235},
  year   = {2024}
}

Comments

15 pages. Comments are welcome. Minor changes in the second version