The Deformation Quantization of R via the specifiaction of the commutators
نویسنده
چکیده
In a deformation quantization of R, the Jacobi identity is automatically satisfied. This article poses the contrary question: Given a set of commutators which satisfies the Jacobi identity, is the resulting associative algebra a deformation quantization of R? It is shown that the result is true. However care must taken when stating precisely how and in which algebra the Jacobi identity is satisfied. MSC 53D55, 81S10, 81R60
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