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

2015/11/03 by Sei‐Qwon Oh, Sei-Qwon Oh, Oh, Sei-Qwon
Mathematics · #16S36 #17B63 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16S36 #msc:17B63

paper · pdf · doi:10.48550/arxiv.1511.00802

17 pages

arxiv created 2015/11/03 · openalex publication_date 2015/11/03 · arxiv updated 2015/11/04 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

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 multi-parameter quantized Weyl algebra onto the Poisson spectrum of its semiclassical limit.

Related

• A natural map from a quantized space onto its semiclassical limit
• Semiquantum Geometry
• Semiclassical Limits of Quantum Affine Spaces
• Kontsevich's deformation quantization: from Dirac to multiple zeta values
• The DFR-Algebra for Poisson Vector Bundles