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arXiv · 1803.10957

A simple construction of associative deformations

Alexey A. Sharapov·Evgeny D. Skvortsov
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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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Alexey A. Sharapov, Evgeny D. Skvortsov. 2018-03-29. A simple construction of associative deformations. https://doi.org/10.1007/s11005-018-1119-3

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