English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

A simple construction of associative deformations

MPS-Authors
/persons/resource/persons128595

Skvortsov,  Evgeny
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

1803.10957.pdf
(Preprint), 235KB

1803.10957-v2.pdf
(Preprint), 186KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Sharapov, A. A., & Skvortsov, E. (2019). A simple construction of associative deformations. Letters in Mathematical Physics, 1-19. doi:10.1007/s11005-018-1119-3.


Cite as: http://hdl.handle.net/21.11116/0000-0001-5431-9
Abstract
A new approach to the construction of formal deformations of associative algebras is proposed. It exploits the machinery of injective resolutions 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 $A$.