Two Approaches to Non-Commutative Geometry
نویسنده
چکیده
Looking to the history of mathematics one could find out two outer approaches to Geometry. First one (algebraic) is due to Descartes and second one (group-theoretic)—to Klein. We will see that they are not rivalling but are tied (by Galois). We also examine their modern life as philosophies of non-commutative geometry. Connections between different objects (see keywords) are discussed. ∗Supported by grant 3GP03196 of the FWO-Vlaanderen (Fund of Scientific ResearchFlanders), Scientific Research Network “Fundamental Methods and Technique in Mathematics”. 1991 Mathematical Subject Classification. Primary: 46H30; Secondary: 30G35, 47A13, 81R05.
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