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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
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.
Received: 14.07.2014 Revised: 08.09.2014
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
Linking options:
https://www.mathnet.ru/eng/tmf8769https://doi.org/10.4213/tmf8769 https://www.mathnet.ru/eng/tmf/v183/i2/p274
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Abstract page: | 301 | Full-text PDF : | 132 | References: | 54 | First page: | 14 |
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