Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞


Bordemann, Martin ; Meinrenken, Eckhard ; Schlichenmaier, Martin


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URL: https://ub-madoc.bib.uni-mannheim.de/1317
URN: urn:nbn:de:bsz:180-madoc-13174
Document Type: Working paper
Year of publication: 1993
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Abstract: For general compact Kähler manifolds it is shown that both Toeplitz quantization and geometric quantization lead to a well-defined (by operator norm estimates) classical limit. This generalizes earlier results of the authors and Klimek and Lesniewski obtained for the torus and higher genus Riemann surfaces, respectively. We thereby arrive at an approximation of the Poisson algebra by a sequence of finite-dimensional matrix algebras gl(N), N → ∞.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.




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Bordemann, Martin ; Meinrenken, Eckhard ; Schlichenmaier, Martin (1993) Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞. Open Access [Working paper]
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