Exponential Formulas and Lie Algebra Type Star Products

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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dc.contributor.author	Meljanac, S.
dc.contributor.author	Škoda, Z.
dc.contributor.author	Svrtan, D.
dc.date.accessioned	2019-02-18T11:25:52Z
dc.date.available	2019-02-18T11:25:52Z
dc.date.issued	2012
dc.identifier.citation	Exponential 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81R60; 16S30; 16S32; 16A58
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.013
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148390
dc.description.abstract	Given 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.sponsorship	We 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.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	Exponential Formulas and Lie Algebra Type Star Products	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA