Snyder Space-Time: K-Loop and Lie Triple System

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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dc.contributor.author	Girelli, F.
dc.date.accessioned	2019-02-09T20:31:50Z
dc.date.available	2019-02-09T20:31:50Z
dc.date.issued	2010
dc.identifier.citation	Snyder Space-Time: K-Loop and Lie Triple System / F. Girelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 28 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17C90; 81T75
dc.identifier.other	DOI:10.3842/SIGMA.2010.074
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146535
dc.description.abstract	Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth ''K-loop'', a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key objects in the construction.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Snyder Space-Time: K-Loop and Lie Triple System	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA