M. Dara - School of Mathematics, Iran University of Science and Technology, Tehran, Iran.
A. Dehghan Nezhad - School of Mathematics, Iran University of Science and Technology, Tehran, Iran.

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.

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