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Deformation Quantizations of the Poisson Algebra of Laurent Polynomials

โœ Scribed by Hideki Omori; Yoshiaki Maeda; Naoya Miyazaki; Akira Yoshioka


Book ID
110251046
Publisher
Springer
Year
1998
Tongue
English
Weight
82 KB
Volume
46
Category
Article
ISSN
0377-9017

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Poisson brackets (P.b.) are the natural initial terms for the deformation quantization of commutative algebras. There is an open problem whether any Poisson bracket on the polynomial algebra of n variables can be quantized. It is known (Poincare-Birkhoff-Witt theorem) that any linear P.b. for all n