Two Approaches to Non-Commutative Geometry
| dc.creator | Kisil, Vladimir V. | |
| dc.date | 1997-03-04 | |
| dc.date | 1998-02-06 | |
| dc.date.accessioned | 2026-07-07T08:59:18Z | |
| dc.date.available | 2026-07-07T08:59:18Z | |
| dc.description | 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. Keywords: Heisenberg group, Weyl commutation relation, Manin plain, quantum groups, SL(2, R), Hardy space, Bergman space, Segal-Bargmann space, Szeg"o projection, Bergman projection, Clifford analysis, Cauchy-Riemann-Dirac operator, Moebius transformations, functional calculus, Weyl calculus (quantization), Berezin quantization, Wick ordering, quantum mechanics. | |
| dc.description | 05.02.98: minor corrections | |
| dc.identifier | https://arxiv.org/abs/funct-an/9703001 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9703001 | |
| dc.identifier | H.~Begehr et al eds., Complex Methods for Partial Differential Equations, Ch~14, pp 219--248, Kluwer, 1999 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147663 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | Quantum Physics | |
| dc.title | Two Approaches to Non-Commutative Geometry | |
| dc.type | text |