The representations of the coordinate ring of the quantum symplectic space (Q1574429)

The author considers the coordinate ring \({\mathcal O}_q(sp{\mathbf C}^{2n})\) of the quantum symplectic space in the case where \(q\) is an \(m\)th root of unity with odd \(m\). The degree and the center of the algebra \({\mathcal O}_q(sp{\mathbf C}^{2n})\) are computed and the irreducible representations of this algebra are classified. The De Concini-Kac-Procesi conjecture is proved to be true for this algebra.