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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 2, Pages 274–300
DOI: https://doi.org/10.4213/tmf8769 (Mi tmf8769) 		 
Nambu structures on four-dimensional real Lie groups and related superintegrable systems

S. Farhang-Sardroodia, A. Rezaei-Aghdama, L. Sedghi-Ghadimb

a Department of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran
b Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
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DOI: https://doi.org/10.4213/tmf8769
Abstract: We determine all third- and fourth-order Nambu tensors (Nambu structures) on four-dimensional real Lie groups. In addition, we obtain superintegrable systems using the fourth-order Nambu structures on some of these Lie groups as phase spaces with the symmetry groups $\mathbf A_{4,8}$ and $\mathbf A_{4,10}$.
Keywords: Nambu structure, superintegrable system, Lie group.
Funding agency Grant number
Azarbaijan Shahid Madani University 27.d.1518
Received: 14.07.2014
Revised: 08.09.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 2, Pages 684–704
DOI: https://doi.org/10.1007/s11232-015-0288-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Farhang-Sardroodi, A. Rezaei-Aghdam, L. Sedghi-Ghadim, “Nambu structures on four-dimensional real Lie groups and related superintegrable systems”, TMF, 183:2 (2015), 274–300; Theoret. and Math. Phys., 183:2 (2015), 684–704
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:54
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