QUANTUM -SPACE AND POISSON -SPACE

DOI10.1081/AGB-120013313zbMath1016.16035MaRDI QIDQ4792626

Sei-Qwon Oh, Yongyeon Shin, Chun-Gil Park

Publication date: 9 March 2003

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

zbMATH Keywords

prime idealsGelfand-Kirillov dimensionprimitive idealscoordinate ringsPoisson algebrasprime spectraquantum affine spacessymplectic idealsMcConnell-Pettit algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Poisson algebras (17B63) Ideals in associative algebras (16D25)

Related Items

The group of Poisson automorphisms of the Poisson symplectic space, The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras, A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra, Poisson Hopf algebra related to a twisted quantum group, Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces, Generalized derivations of a quantum plane., Approximately linear mappings in Banach modules over a \(C^*\)-algebra, Algebra. Transl. from the Russian, Actions of Hopf algebras on general quantum Mal'tsev power series and quantum planes., Relationship Between Quantum and Poisson Structures of Odd Dimensional Euclidean Spaces, STABILITY OF HOMOMORPHISMS IN BANACH MODULES OVER A C^*-ALGEBRA ASSOCIATED WITH A GENERALIZED JENSEN TYPE MAPPING AND APPLICATIONS

Cites Work

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• Primitive and Poisson spectra of twists of polynomial rings
• Crossed Products and Multiplicative Analogues of Weyl Algebras
• Quantum $n$-space as a quotient of classical $n$-space