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On the quantization of Nambu brackets

✍ Scribed by Awata, Hidetoshi; Li, Miao; Minic, Djordje; Yoneya, Tamiaki

Book ID
120461569
Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
258 KB
Volume
2001
Category
Article
ISSN
1126-6708

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In this paper we introduce two classes of Poisson brackets on algebras (or on sheaves of algebras). We call them locally free and nonsingular Poisson brackets. Using the Fedosov's method we prove that any locally free nonsingular Poisson bracket can be quantized. In particular, it follows from this