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   on the k-ary ‎m‎oment map  
   
نویسنده dara m. ,dehghan nezhad a.
منبع international journal of industrial mathematics - 2021 - دوره : 13 - شماره : 1 - صفحه:53 -61
چکیده    The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a hamiltonian system. by considering topological properties of the moment map we are lead to the definition of the abstract moment map. this map is defined from g-manifold m to dual lie algebra of g. we will interested study maps from g-manifold m to spaces that are more general than dual lie algebra of g. these maps help us to reduce the dimension of a manifold much more.
کلیدواژه lie algebra ,hamiltonian system ,k-ary moment map ,moment map ,reduction
آدرس iran university of science and technology, school of mathematics, iran, iran university of science and technology, school of mathematics, iran
پست الکترونیکی dehghannezhad@iust.ac.ir
 
     
   
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