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  On deformations of A-infinity algebras

Sharapov, A. A., & Skvortsov, E. D. (in preparation). On deformations of A-infinity algebras.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-549A-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-549D-E
Genre: Paper

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1809.03386.pdf (Preprint), 325KB
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 Creators:
Sharapov, Alexey A., Author
Skvortsov, Evgeny D.1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,Mathematics, Quantum Algebra, math.QA
 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.

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 Dates: 2018-09-10
 Publication Status: Not specified
 Pages: 23 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1809.03386
URI: http://arxiv.org/abs/1809.03386
 Degree: -

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