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Journal Article

On deformations of A∞-algebras

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

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1809.03386.pdf
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Citation

Sharapov, A. A., & Skvortsov, E. D. (2019). On deformations of A∞-algebras. Journal of physics A, 52(47): 475203. doi:10.1088/1751-8121/ab4ea8.


Cite as: https://hdl.handle.net/21.11116/0000-0003-549A-1
Abstract
A simple method is proposed for deforming $A_\infty$-algebras by means of the
resolution technique. The method is then applied to the associative algebras of
polynomial functions on quantum superspaces. Specifically, by introducing
suitable resolutions, we construct explicit deformations of these algebras in
the category of minimal $A_\infty$-algebras. The relation of these deformations
to higher spin gravities is briefly discussed.