RT Journal Article T1 A new matrix method for the Casimir operators of the Lie algebras wsp (N,R) and Isp (2N,R) A1 Campoamor Stursberg, Otto-Rudwig AB A method is given to determine the Casimir operators of the perfect Lie algebras wsp (N,R) = sp (2N,R)−→⊕Γω1⊕Γ0hN and the inhomogeneous Lie algebrasIsp (2N,R) in terms of polynomials associated to a parametrized (2N + 1)×(2N + 1)-matrix. For the inhomogeneous symplectic algebras this matrix is shown to be associated to a faithful representation.The method is extended to other classes of Lie algebras, and some applications to the missing label problem are given. PB IOP Publishing SN 0305-4470 YR 2005 FD 2005 LK https://hdl.handle.net/20.500.14352/50698 UL https://hdl.handle.net/20.500.14352/50698 LA eng DS Docta Complutense RD 10 abr 2025