Gelfand–Kirillov Dimension of Algebras with a Locally Finite and Multiparameter Indexed Filtration

DOI10.1080/00927870802068367zbMath1168.16009OpenAlexW2130564476MaRDI QIDQ3514774

Eun-Hee Cho, Sei-Qwon Oh

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802068367

zbMATH Keywords

homomorphic imagesGelfand-Kirillov dimensionquantized algebrasmulti-filtrationsassociated graded algebrasPoisson enveloping algebraslocally finite filtrations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Growth rate, Gelfand-Kirillov dimension (16P90) Poisson algebras (17B63) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

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• Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces
• Symplectic ideals of poisson algebras and the poisson structure associated to quantum matrices
• Poisson enveloping algebras
• Gelfand-Kirillov dimension of multi-filtered algebras
• A POINCARÉ-BIRKHOFF-WITT THEOREM FOR POISSON ENVELOPING ALGEBRAS

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