Exponential Formulas and Lie Algebra Type Star Products
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 nonco...
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| Дата: | 2012 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148390 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148390 |
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dspace |
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irk-123456789-1483902019-02-19T01:30:21Z Exponential Formulas and Lie Algebra Type Star Products Meljanac, S. Škoda, Z. Svrtan, D. 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. 2012 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Meljanac, S. Škoda, Z. Svrtan, D. |
| spellingShingle |
Meljanac, S. Škoda, Z. Svrtan, D. Exponential Formulas and Lie Algebra Type Star Products Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Meljanac, S. Škoda, Z. Svrtan, D. |
| author_sort |
Meljanac, S. |
| title |
Exponential Formulas and Lie Algebra Type Star Products |
| title_short |
Exponential Formulas and Lie Algebra Type Star Products |
| title_full |
Exponential Formulas and Lie Algebra Type Star Products |
| title_fullStr |
Exponential Formulas and Lie Algebra Type Star Products |
| title_full_unstemmed |
Exponential Formulas and Lie Algebra Type Star Products |
| title_sort |
exponential formulas and lie algebra type star products |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148390 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:30:26Z |
| last_indexed |
2023-05-20T17:30:26Z |
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1796153447979941888 |