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arxiv: 1905.01366 · v3 · pith:MKX6HFQBnew · submitted 2019-05-03 · 🧮 math.RA

Noncommutative cross-ratio and Schwarz derivative

classification 🧮 math.RA
keywords noncommutativecross-ratioderivativeschwarztheoryapplycelebratedconnections
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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".

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