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ON THE SYMPLECTIC REDUCTIONS |
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| Authors: | HE Longguang ZHONG Deshou and LIU Baokang |
| Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, China.;Department of Mathematics, Capital Normal University, Beijing 100037, China.;Department of Mathematics, Capital Normal University, Beijing 100037, China. |
| 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. |
| Keywords: | Symplectic reduction Symplectic action Poisson action Momentum mapping Stable subgroup |
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