A simple construction of associative deformations |
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Authors: | Sharapov Alexey A Skvortsov Evgeny D |
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Institution: | 1.Physics Faculty, Tomsk State University, Lenin Ave. 36, Tomsk, Russia, 634050 ;2.Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam-Golm, Germany ;3.Lebedev Institute of Physics, Leninsky Ave. 53, Moscow, Russia, 119991 ; |
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Abstract: | We propose a simple approach to formal deformations of associative algebras. It exploits the machinery of multiplicative coresolutions of an associative algebra A in the category of A-bimodules. Specifically, we show that certain first-order deformations of A extend to all orders and we derive explicit recurrent formulas determining this extension. In physical terms, this may be regarded as the deformation quantization of noncommutative Poisson structures on A. |
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