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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1505.04612 |
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| _version_ | 1866913494483337216 |
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| author | Abedi-Fardad, J. Rezaei-Aghdam, A. Haghighatdoost, Gh. |
| author_facet | Abedi-Fardad, J. Rezaei-Aghdam, A. Haghighatdoost, Gh. |
| contents | In this paper we classify all four dimensional real Lie bialgebras of symplectic type. The classical r- matrices for these Lie bialgebras and Poisson structures on all of the related four dimensional Poisson-Lie groups are also obtained. Some new integrable models for which the Poisson-Lie group plays the role as a phase space and its dual Lie group plays the role of a symmetry group of the system, are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1505_04612 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Classification of four dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups Abedi-Fardad, J. Rezaei-Aghdam, A. Haghighatdoost, Gh. Mathematical Physics In this paper we classify all four dimensional real Lie bialgebras of symplectic type. The classical r- matrices for these Lie bialgebras and Poisson structures on all of the related four dimensional Poisson-Lie groups are also obtained. Some new integrable models for which the Poisson-Lie group plays the role as a phase space and its dual Lie group plays the role of a symmetry group of the system, are obtained. |
| title | Classification of four dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/1505.04612 |