On the k-ary ‎M‎oment Map

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.

Keywords:

Lie algebra , Hamiltonian system , K-ary moment map , Moment map , reduction