Exponential Formulas and Lie Algebra Type Star Products

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dc.contributor.authorMeljanac, S.
dc.contributor.authorŠkoda, Z.
dc.contributor.authorSvrtan, D.
dc.date.accessioned2019-02-18T11:25:52Z
dc.date.available2019-02-18T11:25:52Z
dc.date.issued2012
dc.description.abstractGiven formal differential operators Fi on polynomial algebra in several variables x₁,…,xn, we discuss finding expressions Kl determined by the equation exp(∑ixiFi)(exp(∑jqjxj))=exp(∑lKlxl) and their applications. The expressions for Kl are related to the coproducts for deformed momenta for the noncommutative space-times of Lie algebra type and also appear in the computations with a class of star products. We find combinatorial recursions and derive formal differential equations for finding Kl. We elaborate an example for a Lie algebra su(2), related to a quantum gravity application from the literature.uk_UA
dc.description.sponsorshipWe thank the Croatia MSES projects for partial supports: 098-0000000-2865 (S.M. and Z.S.), 037-0372794-2807 (Z.S.) and 037-0000000-2779 (D.S.).uk_UA
dc.identifier.citationExponential Formulas and Lie Algebra Type Star Products / S. Meljanac, Z. Škoda, D. Svrtan // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81R60; 16S30; 16S32; 16A58
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2012.013
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148390
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleExponential Formulas and Lie Algebra Type Star Productsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік