2019/05/03 by Vladimir Retakh, Retakh, Vladimir, Vladimir Rubtsov +3
Mathematics · #15B33 #16Kxx #51A05 #51C05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1905.01366
openalex publication_date 2019/05/03 · openalex created_date 2022/12/18 · openalex updated_date 2026/07/28
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".