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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. 41874208. ISSN 03054470

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Official URL: http://iopscience.iop.org/03054470/38/19/009/pdf/03054470_38_19_009.pdf
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http://iopscience.iop.org/  Publisher 
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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