Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices

DOI10.1080/00927879908826555zbMath0936.16041OpenAlexW2056101697MaRDI QIDQ4241648

Sei-Qwon Oh

Publication date: 14 June 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826555

zbMATH Keywords

quantum matricesPoisson structuresprimitive idealsPoisson algebrassymplectic idealsDixmier-Moeglin equivalencesPoisson prime ideals

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Universal enveloping (super)algebras (17B35) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Poisson algebras (17B63) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Universal enveloping algebras of Lie algebras (16S30)

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Cites Work

• A simple localization of the quantized Weyl algebra
• Finite Dimensional Simple Modules Over the Coordinate Ring of Quantum Matrices
• The Defining Relations of Quantum n × n Matrices
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