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

DOI10.1080/00927872.2016.1175448zbMath1405.16037arXiv1511.00802OpenAlexW2963083127MaRDI QIDQ2978247

Sei-Qwon Oh

Publication date: 21 April 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00802

zbMATH Keywords

semiclassical limitPoisson algebraquantized algebraquantized Weyl algebra

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Poisson algebras (17B63) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (3)

Poisson Hopf algebra related to a twisted quantum group ⋮ Semiclassical limits of Ore extensions and a Poisson generalized Weyl algebra ⋮ Poisson double extensions

Cites Work

• Unnamed Item
• Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces
• Poisson brackets and Poisson spectra in polynomial algebras
• Relationship Between Quantum and Poisson Structures of Odd Dimensional Euclidean Spaces
• Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices
• Prime ideals of quantized Weyl algebras
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• QUANTUM -SPACE AND POISSON -SPACE

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