English

(non)commutative f-un geometry

Rings and Algebras 2009-09-15 v1

Abstract

Stressing the role of dual coalgebras, we modify the definition of affine schemes over the 'field with one element'. This clarifies the appearance of Habiro-type rings in the commutative case, and, allows a natural noncommutative generalization, the study of representations of discrete groups and their profinite completions being our main motivation.

Keywords

Cite

@article{arxiv.0909.2522,
  title  = {(non)commutative f-un geometry},
  author = {Lieven Le Bruyn},
  journal= {arXiv preprint arXiv:0909.2522},
  year   = {2009}
}
R2 v1 2026-06-21T13:46:04.845Z