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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

## 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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