TY - BOOK AU - AU - Job A. Nable ED - ED - ED - ED - SN - 2 PY - 2009///46 CY - Quezon City : PB - Office of Research and Publications, Ateneo de Manila University KW - KW - 2 KW - 0 KW - 6 KW - 20 KW - Symplectic Manifolds KW - Deformation Quantization KW - Representation of Lie groups KW - sears0 N1 - ABSTRACT : We present concrete computations of product on duals of lie algebras and obtain the operator representation of the lie algebras. Restricting to actions on coadjoint orbits, obtained within deformation quantization, and exponentiating, the representations give the well known complete list of unitary representations of the corresponding lie groups; 5 ER -