English

Underlying varieties and group structures

Algebraic Geometry 2022-02-02 v2 Group Theory

Abstract

We explore to what extent the underlying variety of a connected algebraic group or the underlying manifold of a real Lie group determines its group structure.

Keywords

Cite

@article{arxiv.2105.12861,
  title  = {Underlying varieties and group structures},
  author = {Vladimir L. Popov},
  journal= {arXiv preprint arXiv:2105.12861},
  year   = {2022}
}

Comments

The introduction rewritten, several new results (Lemma 9, Theorems 10, 12, 15, 16) added, the list of questions in Section 9 expanded, the text reflowed, and some typos corrected. 25 pages

R2 v1 2026-06-24T02:30:29.323Z