Relationship Between Quantum and Poisson Structures of Odd Dimensional Euclidean Spaces

DOI10.1080/00927870903114987zbMath1203.17012OpenAlexW1991105413MaRDI QIDQ3057723

Sei-Qwon Oh, Mi-Yeon Park

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903114987

zbMATH Keywords

Poisson structuresEuclidean spacestopological quotientquantized algebraprime and primitive spectra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Poisson algebras (17B63) Ring-theoretic aspects of quantum groups (16T20)

Related Items (3)

A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra ⋮ The prime spectrum of quantum SL3 and the Poisson prime spectrum of its semiclassical limit ⋮ Semiclassical limits of Ore extensions and a Poisson generalized Weyl algebra

Cites Work

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• Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces
• Algebraic structure of multiparameter quantum groups
• Lectures on algebraic quantum groups
• The Prime and Primitive Spectra of Multiparameter Quantum Symplectic and Euclidean Spaces
• Quantum $n$-space as a quotient of classical $n$-space
• The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras
• QUANTUM -SPACE AND POISSON -SPACE

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