A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras

DOI10.2969/jmsj/04610025zbMath0803.17007OpenAlexW1968674819MaRDI QIDQ1335544

Yoshiaki Maeda, Hideki Omori, Akira Yoshioka

Publication date: 16 October 1994

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04610025

zbMATH Keywords

infinite dimensional Lie algebradeformation quantization of the Poisson algebraHilbert Lie algebrasinverse limit topology

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56)

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Deformation quantization of polynomial Poisson algebras

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