A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra

A natural map from a quantized space onto its semiclassical limit is obtained. As an application, we see that an induced map by the natural map is a homeomorphism from the spectrum of the multiparameter quantized Weyl algebra onto the Poisson spectrum of its semiclassical limit.

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Bibliographic Details
Published in:Communications in algebra 2017-01, Vol.45 (1), p.60-75
Main Author: Oh, Sei-Qwon
Format: Article
Language:English
Subjects:
Algebra
Poisson algebra
quantized algebra
quantized Weyl algebra
semiclassical limit
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Description
Summary:A natural map from a quantized space onto its semiclassical limit is obtained. As an application, we see that an induced map by the natural map is a homeomorphism from the spectrum of the multiparameter quantized Weyl algebra onto the Poisson spectrum of its semiclassical limit.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2016.1175448