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A new matrix method for the Casimir operators of the Lie algebras wsp (N,R) and Isp (2N,R)

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Campoamor Stursberg, Otto Ruttwig (2005) A new matrix method for the Casimir operators of the Lie algebras wsp (N,R) and Isp (2N,R). Journal of physics A: Mathematical and general, 38 (19). pp. 4187-4208. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/38/19/009/pdf/0305-4470_38_19_009.pdf


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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.


Item Type:Article
Subjects:Sciences > Mathematics
ID Code:21775
Deposited On:11 Jun 2013 12:54
Last Modified:12 Dec 2018 15:13

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