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Classification of polarized deformation quantizations

✍ Scribed by Joseph Donin

Book ID: 104343238
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 292 KB
Volume: 48
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(03)00055-x

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This paper discusses the notion of a deformation quantization for an arbitrary polynomial Poisson algebra A. We compute an explicit third order deformation quantization of A and show that it comes from a quantized enveloping algebra. We show that this deformation extends to a fourth order deformatio