On the $k$-ary Moment Map
الموضوعات : مجله بین المللی ریاضیات صنعتیM. Dara 1 , A. Dehghan Nezhad 2
1 - School of Mathematics, Iran University of Science and Technology, Tehran, Iran.
2 - School of Mathematics,
Iran University of Science and Technology, Tehran, Iran.
الکلمات المفتاحية: reduction, Lie algebra, K-ary moment map, Moment map, Hamiltonian system,
ملخص المقالة :
The moment map is a mathematical expression of the concept of the conservation associated with the symmetries of a Hamiltonian system. The abstract moment 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.
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