Exponential Formulas and Lie Algebra Type Star Products
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Exponential Formulas and Lie Algebra Type Star Products
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| Creator |
Meljanac, S.
Škoda, Z. Svrtan, D. |
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| Description |
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.
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| Date |
2019-02-18T11:25:52Z
2019-02-18T11:25:52Z 2012 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 81R60; 16S30; 16S32; 16A58 DOI: http://dx.doi.org/10.3842/SIGMA.2012.013 http://dspace.nbuv.gov.ua/handle/123456789/148390 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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