English

On Weakly Complete Universal Enveloping Algebras: A Poincare-Birkhoff-Witt Theorem

Representation Theory 2022-05-18 v3 Group Theory

Abstract

We study universal enveloping Hopf algebras of Lie algebras in the category of weakly complete vector spaces over the real and complex field.

Keywords

Cite

@article{arxiv.2004.11541,
  title  = {On Weakly Complete Universal Enveloping Algebras: A Poincare-Birkhoff-Witt Theorem},
  author = {Karl H. Hofmann and Linus Kramer},
  journal= {arXiv preprint arXiv:2004.11541},
  year   = {2022}
}

Comments

v2 completely rewritten and corrected. v3 title corrected. To appear in Journal of Lie Theory