| ON THE SYMPLECTIC REDUCTIONS |
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| 作者姓名： | HE Longguang ZHONG Deshou LIU Baokang |
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| 作者单位： | HE LONGGUANG ZHONG DESHOU LIU BAOKANG: Department of Mathematics，Capital Normal University，Beijing 100037，China. |
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| 摘 要： | A symplectic reduction method for symplectic G-spaces is given in this paper without usingthe existence of momentum mappings.By a method similar to the above one,the arthorsgive a symplectic reduction method for the Poisson action of Poisson Lie groups on symplecticmanifolds,also without using the existence of momentum mappings.The symplectic reductionmethod for momentum mappings is thus a special case of the above results.
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| 关 键 词： | 辛约化 动量映射 辛作用 Poisson作用 子群 辛流形 Poisson－Lie群 Hamilton作用 |
| 收稿时间： | 2000/1/27 0:00:00 |
| 修稿时间： | 4/1/2018 12:00:00 AM |
ON THE SYMPLECTIC REDUCTIONS |
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| HE Longguang,ZHONG Deshou,LIU Baokang.ON THE SYMPLECTIC REDUCTIONS[J].Chinese Annals of Mathematics,Series B,2002,23(3):425-434. |
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| Authors: | HE Longguang ZHONG Deshou and LIU Baokang |
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| Institution: | Department of Mathematics,Capital Normal University,Beijing 100037,China |
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| Abstract: | A symplectic reduction method for symplectic G-spaces is given in this paper without using the existence of momentum mappings. By a method similar to the above one, the arthors give a symplectic reduction method for the Poisson action of Poisson Lie groups on symplectic manifolds, also without using the existence of momentum mappings. The symplectic reduction method for momentum mappings is thus a special case of the above results. |
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| Keywords: | Symplectic reduction Symplectic action Poisson action Momentum mapping Stable subgroup |
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