Gutt-Products and representations of lie groups 6
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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.
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Symplectic Manifolds ------Deformation Quantization--Representation of Lie groups--