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| ON THE SYMPLECTIC REDUCTIONS |
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Citation： |
HE Longguang,ZHONG Deshou,LIU Baokang.ON THE SYMPLECTIC REDUCTIONS[J].Chinese Annals of Mathematics B,2002,23(3):425~434 |
| Page view： 1069
Net amount： 848 |
Authors： |
HE Longguang; ZHONG Deshou;LIU Baokang |
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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. |
Keywords： |
Symplectic reduction, Symplectic action, Poisson action, Momentum mapping, Stable subgroup |
Classification： |
53C15 |
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