Publication: A new matrix method for the Casimir operators of the Lie algebras wsp (N,R) and Isp (2N,R)
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2005
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IOP Publishing
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Abstract
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.
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