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  On deformations of A∞-algebras

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.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-549A-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-562E-8
Genre: Journal Article

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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: 2018-09-102019
 Publication Status: Published in print
 Pages: 23 pages
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 Identifiers: arXiv: 1809.03386
URI: http://arxiv.org/abs/1809.03386
DOI: 10.1088/1751-8121/ab4ea8
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Title: Journal of physics A
Source Genre: Journal
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Pages: - Volume / Issue: 52 (47) Sequence Number: 475203 Start / End Page: - Identifier: -