Primitive Ideals of the Coordinate Ring of Quantum Symplectic Space Original Research Article

The primitive ideals of the coordinate ring of quantum symplectic space imageq(imageimageC2n) are classified when q is not a root of unity. It is shown that all primitive ideals of imageq(imageimageC2n) correspond to its admissible sets, the center of imageq(imageimageC2n) is just C, and the Gelfand-Kirillov dimensions of primitive factored algebras of imageq(imageimageC2n) are even.