Noncommutative cross-ratio and Schwarz derivative
Rings and Algebras
2019-05-23 v3
Abstract
We present here a theory of noncommutative cross-ratio, Schwarz derivative and their connections and relations to the operator cross-ratio. We apply the theory to "noncommutative elementary geometry" and relate it to noncommutative integrable systems. We also provide a noncommutative version of the celebrated "pentagramma mirificum".
Keywords
Cite
@article{arxiv.1905.01366,
title = {Noncommutative cross-ratio and Schwarz derivative},
author = {Vladimir Retakh and Vladimir Rubtsov and Georgy Sharygin},
journal= {arXiv preprint arXiv:1905.01366},
year = {2019}
}
Comments
24 pages, 3 figures. We add in the v.2 one figure and few references. We also had made some cosmetic language and phrase order changes